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Finding the Fourth Proportional to 152.48, 229.86 and 142.04

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Solution

The fourth proportional to 152.48, 229.86 and 142.04 is: 214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.48 : 229.86 = 142.04 : x
  2. Step 2: Convert to fraction form
    152.48/229.86 = 142.04/x
  3. Step 3: Cross multiply
    152.48x = 229.86 × 142.04
  4. Step 4: Simplify right side
    152.48x = 32,649.31
  5. Step 5: Solve for x
    x = 32,649.31/152.48
  6. Step 6: Final answer
    x = 214.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.