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Finding the Fourth Proportional to 474.22, 710.87 and 149.51

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Solution

The fourth proportional to 474.22, 710.87 and 149.51 is: 224.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.22 : 710.87 = 149.51 : x
  2. Step 2: Convert to fraction form
    474.22/710.87 = 149.51/x
  3. Step 3: Cross multiply
    474.22x = 710.87 × 149.51
  4. Step 4: Simplify right side
    474.22x = 106,282.17
  5. Step 5: Solve for x
    x = 106,282.17/474.22
  6. Step 6: Final answer
    x = 224.12

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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.