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Finding the Fourth Proportional to 476.61, 714.90 and 147.54

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Solution

The fourth proportional to 476.61, 714.90 and 147.54 is: 221.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.61 : 714.90 = 147.54 : x
  2. Step 2: Convert to fraction form
    476.61/714.90 = 147.54/x
  3. Step 3: Cross multiply
    476.61x = 714.90 × 147.54
  4. Step 4: Simplify right side
    476.61x = 105,475.61
  5. Step 5: Solve for x
    x = 105,475.61/476.61
  6. Step 6: Final answer
    x = 221.31

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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.