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Finding the Fourth Proportional to 152.56, 227.40 and 143.69

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Solution

The fourth proportional to 152.56, 227.40 and 143.69 is: 214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.56 : 227.40 = 143.69 : x
  2. Step 2: Convert to fraction form
    152.56/227.40 = 143.69/x
  3. Step 3: Cross multiply
    152.56x = 227.40 × 143.69
  4. Step 4: Simplify right side
    152.56x = 32,673.53
  5. Step 5: Solve for x
    x = 32,673.53/152.56
  6. Step 6: Final answer
    x = 214.16

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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.