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Finding the Fourth Proportional to 421.53, 632.27 and 161.66

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Solution

The fourth proportional to 421.53, 632.27 and 161.66 is: 242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.53 : 632.27 = 161.66 : x
  2. Step 2: Convert to fraction form
    421.53/632.27 = 161.66/x
  3. Step 3: Cross multiply
    421.53x = 632.27 × 161.66
  4. Step 4: Simplify right side
    421.53x = 102,209.61
  5. Step 5: Solve for x
    x = 102,209.61/421.53
  6. Step 6: Final answer
    x = 242.47

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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.