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Finding the Fourth Proportional to 152.56, 228.56 and 138.80

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Solution

The fourth proportional to 152.56, 228.56 and 138.80 is: 207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.56 : 228.56 = 138.80 : x
  2. Step 2: Convert to fraction form
    152.56/228.56 = 138.80/x
  3. Step 3: Cross multiply
    152.56x = 228.56 × 138.80
  4. Step 4: Simplify right side
    152.56x = 31,724.13
  5. Step 5: Solve for x
    x = 31,724.13/152.56
  6. Step 6: Final answer
    x = 207.95

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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.