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Finding the Fourth Proportional to 421.69, 632.53 and 133.13

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Solution

The fourth proportional to 421.69, 632.53 and 133.13 is: 199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.69 : 632.53 = 133.13 : x
  2. Step 2: Convert to fraction form
    421.69/632.53 = 133.13/x
  3. Step 3: Cross multiply
    421.69x = 632.53 × 133.13
  4. Step 4: Simplify right side
    421.69x = 84,208.72
  5. Step 5: Solve for x
    x = 84,208.72/421.69
  6. Step 6: Final answer
    x = 199.69

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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.