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Finding the Fourth Proportional to 421.42, 632.04 and 132.80

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Solution

The fourth proportional to 421.42, 632.04 and 132.80 is: 199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.42 : 632.04 = 132.80 : x
  2. Step 2: Convert to fraction form
    421.42/632.04 = 132.80/x
  3. Step 3: Cross multiply
    421.42x = 632.04 × 132.80
  4. Step 4: Simplify right side
    421.42x = 83,934.91
  5. Step 5: Solve for x
    x = 83,934.91/421.42
  6. Step 6: Final answer
    x = 199.17

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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.