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Finding the Fourth Proportional to 150.93, 224.88 and 144.29

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Solution

The fourth proportional to 150.93, 224.88 and 144.29 is: 214.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.93 : 224.88 = 144.29 : x
  2. Step 2: Convert to fraction form
    150.93/224.88 = 144.29/x
  3. Step 3: Cross multiply
    150.93x = 224.88 × 144.29
  4. Step 4: Simplify right side
    150.93x = 32,447.94
  5. Step 5: Solve for x
    x = 32,447.94/150.93
  6. Step 6: Final answer
    x = 214.99

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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.