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Finding the Fourth Proportional to 470.70, 706.05 and 181.95

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Solution

The fourth proportional to 470.70, 706.05 and 181.95 is: 272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.70 : 706.05 = 181.95 : x
  2. Step 2: Convert to fraction form
    470.70/706.05 = 181.95/x
  3. Step 3: Cross multiply
    470.70x = 706.05 × 181.95
  4. Step 4: Simplify right side
    470.70x = 128,465.80
  5. Step 5: Solve for x
    x = 128,465.80/470.70
  6. Step 6: Final answer
    x = 272.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.