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Finding the Fourth Proportional to 421.17, 631.75 and 177.41

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Solution

The fourth proportional to 421.17, 631.75 and 177.41 is: 266.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.17 : 631.75 = 177.41 : x
  2. Step 2: Convert to fraction form
    421.17/631.75 = 177.41/x
  3. Step 3: Cross multiply
    421.17x = 631.75 × 177.41
  4. Step 4: Simplify right side
    421.17x = 112,078.77
  5. Step 5: Solve for x
    x = 112,078.77/421.17
  6. Step 6: Final answer
    x = 266.11

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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.