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Finding the Fourth Proportional to 152.04, 229.35 and 143.16

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Solution

The fourth proportional to 152.04, 229.35 and 143.16 is: 215.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.04 : 229.35 = 143.16 : x
  2. Step 2: Convert to fraction form
    152.04/229.35 = 143.16/x
  3. Step 3: Cross multiply
    152.04x = 229.35 × 143.16
  4. Step 4: Simplify right side
    152.04x = 32,833.75
  5. Step 5: Solve for x
    x = 32,833.75/152.04
  6. Step 6: Final answer
    x = 215.95

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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.