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Finding the Fourth Proportional to 314.64, 472.14 and 177.48

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Solution

The fourth proportional to 314.64, 472.14 and 177.48 is: 266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.64 : 472.14 = 177.48 : x
  2. Step 2: Convert to fraction form
    314.64/472.14 = 177.48/x
  3. Step 3: Cross multiply
    314.64x = 472.14 × 177.48
  4. Step 4: Simplify right side
    314.64x = 83,795.41
  5. Step 5: Solve for x
    x = 83,795.41/314.64
  6. Step 6: Final answer
    x = 266.32

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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.