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Finding the Fourth Proportional to 470.92, 706.47 and 178.51

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Solution

The fourth proportional to 470.92, 706.47 and 178.51 is: 267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.92 : 706.47 = 178.51 : x
  2. Step 2: Convert to fraction form
    470.92/706.47 = 178.51/x
  3. Step 3: Cross multiply
    470.92x = 706.47 × 178.51
  4. Step 4: Simplify right side
    470.92x = 126,111.96
  5. Step 5: Solve for x
    x = 126,111.96/470.92
  6. Step 6: Final answer
    x = 267.80

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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.