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Finding the Fourth Proportional to 152.43, 227.46 and 148.77

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Solution

The fourth proportional to 152.43, 227.46 and 148.77 is: 222.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.43 : 227.46 = 148.77 : x
  2. Step 2: Convert to fraction form
    152.43/227.46 = 148.77/x
  3. Step 3: Cross multiply
    152.43x = 227.46 × 148.77
  4. Step 4: Simplify right side
    152.43x = 33,839.22
  5. Step 5: Solve for x
    x = 33,839.22/152.43
  6. Step 6: Final answer
    x = 222.00

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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.