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Finding the Fourth Proportional to 152.58, 227.52 and 142.32

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Solution

The fourth proportional to 152.58, 227.52 and 142.32 is: 212.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.58 : 227.52 = 142.32 : x
  2. Step 2: Convert to fraction form
    152.58/227.52 = 142.32/x
  3. Step 3: Cross multiply
    152.58x = 227.52 × 142.32
  4. Step 4: Simplify right side
    152.58x = 32,380.65
  5. Step 5: Solve for x
    x = 32,380.65/152.58
  6. Step 6: Final answer
    x = 212.22

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Why These Related Problems?

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