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Finding the Fourth Proportional to 152.00, 227.52 and 100.53

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Solution

The fourth proportional to 152.00, 227.52 and 100.53 is: 150.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.00 : 227.52 = 100.53 : x
  2. Step 2: Convert to fraction form
    152.00/227.52 = 100.53/x
  3. Step 3: Cross multiply
    152.00x = 227.52 × 100.53
  4. Step 4: Simplify right side
    152.00x = 22,872.59
  5. Step 5: Solve for x
    x = 22,872.59/152.00
  6. Step 6: Final answer
    x = 150.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.