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Finding the Fourth Proportional to 432.13, 648.13 and 185.36

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Solution

The fourth proportional to 432.13, 648.13 and 185.36 is: 278.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.13 : 648.13 = 185.36 : x
  2. Step 2: Convert to fraction form
    432.13/648.13 = 185.36/x
  3. Step 3: Cross multiply
    432.13x = 648.13 × 185.36
  4. Step 4: Simplify right side
    432.13x = 120,137.38
  5. Step 5: Solve for x
    x = 120,137.38/432.13
  6. Step 6: Final answer
    x = 278.01

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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.