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Finding the Fourth Proportional to 151.50, 225.81 and 142.63

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Solution

The fourth proportional to 151.50, 225.81 and 142.63 is: 212.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.50 : 225.81 = 142.63 : x
  2. Step 2: Convert to fraction form
    151.50/225.81 = 142.63/x
  3. Step 3: Cross multiply
    151.50x = 225.81 × 142.63
  4. Step 4: Simplify right side
    151.50x = 32,206.72
  5. Step 5: Solve for x
    x = 32,206.72/151.50
  6. Step 6: Final answer
    x = 212.58

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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.