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Finding the Fourth Proportional to 150.29, 224.21 and 130.04

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Solution

The fourth proportional to 150.29, 224.21 and 130.04 is: 193.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.29 : 224.21 = 130.04 : x
  2. Step 2: Convert to fraction form
    150.29/224.21 = 130.04/x
  3. Step 3: Cross multiply
    150.29x = 224.21 × 130.04
  4. Step 4: Simplify right side
    150.29x = 29,154.50
  5. Step 5: Solve for x
    x = 29,154.50/150.29
  6. Step 6: Final answer
    x = 193.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.