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Finding the Fourth Proportional to 152.70, 225.78 and 152.70

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Solution

The fourth proportional to 152.70, 225.78 and 152.70 is: 225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.70 : 225.78 = 152.70 : x
  2. Step 2: Convert to fraction form
    152.70/225.78 = 152.70/x
  3. Step 3: Cross multiply
    152.70x = 225.78 × 152.70
  4. Step 4: Simplify right side
    152.70x = 34,476.61
  5. Step 5: Solve for x
    x = 34,476.61/152.70
  6. Step 6: Final answer
    x = 225.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.