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Finding the Fourth Proportional to 434.13, 651.24 and 160.24

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Solution

The fourth proportional to 434.13, 651.24 and 160.24 is: 240.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.13 : 651.24 = 160.24 : x
  2. Step 2: Convert to fraction form
    434.13/651.24 = 160.24/x
  3. Step 3: Cross multiply
    434.13x = 651.24 × 160.24
  4. Step 4: Simplify right side
    434.13x = 104,354.70
  5. Step 5: Solve for x
    x = 104,354.70/434.13
  6. Step 6: Final answer
    x = 240.38

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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.