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Finding the Fourth Proportional to 152.41, 227.65 and 130.64

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Solution

The fourth proportional to 152.41, 227.65 and 130.64 is: 195.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.41 : 227.65 = 130.64 : x
  2. Step 2: Convert to fraction form
    152.41/227.65 = 130.64/x
  3. Step 3: Cross multiply
    152.41x = 227.65 × 130.64
  4. Step 4: Simplify right side
    152.41x = 29,740.20
  5. Step 5: Solve for x
    x = 29,740.20/152.41
  6. Step 6: Final answer
    x = 195.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.