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Finding the Fourth Proportional to 470.07, 705.10 and 181.31

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Solution

The fourth proportional to 470.07, 705.10 and 181.31 is: 271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.07 : 705.10 = 181.31 : x
  2. Step 2: Convert to fraction form
    470.07/705.10 = 181.31/x
  3. Step 3: Cross multiply
    470.07x = 705.10 × 181.31
  4. Step 4: Simplify right side
    470.07x = 127,840.60
  5. Step 5: Solve for x
    x = 127,840.60/470.07
  6. Step 6: Final answer
    x = 271.96

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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.