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Finding the Fourth Proportional to 470.14, 705.22 and 181.52

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Solution

The fourth proportional to 470.14, 705.22 and 181.52 is: 272.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.14 : 705.22 = 181.52 : x
  2. Step 2: Convert to fraction form
    470.14/705.22 = 181.52/x
  3. Step 3: Cross multiply
    470.14x = 705.22 × 181.52
  4. Step 4: Simplify right side
    470.14x = 128,011.53
  5. Step 5: Solve for x
    x = 128,011.53/470.14
  6. Step 6: Final answer
    x = 272.28

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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.