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Finding the Fourth Proportional to 314.71, 473.09 and 178.02

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Solution

The fourth proportional to 314.71, 473.09 and 178.02 is: 267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.71 : 473.09 = 178.02 : x
  2. Step 2: Convert to fraction form
    314.71/473.09 = 178.02/x
  3. Step 3: Cross multiply
    314.71x = 473.09 × 178.02
  4. Step 4: Simplify right side
    314.71x = 84,218.59
  5. Step 5: Solve for x
    x = 84,218.59/314.71
  6. Step 6: Final answer
    x = 267.61

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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.