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Finding the Fourth Proportional to 153.61, 229.39 and 145.71

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Solution

The fourth proportional to 153.61, 229.39 and 145.71 is: 217.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.61 : 229.39 = 145.71 : x
  2. Step 2: Convert to fraction form
    153.61/229.39 = 145.71/x
  3. Step 3: Cross multiply
    153.61x = 229.39 × 145.71
  4. Step 4: Simplify right side
    153.61x = 33,424.05
  5. Step 5: Solve for x
    x = 33,424.05/153.61
  6. Step 6: Final answer
    x = 217.59

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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.