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Finding the Fourth Proportional to 152.59, 229.04 and 135.35

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Solution

The fourth proportional to 152.59, 229.04 and 135.35 is: 203.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.59 : 229.04 = 135.35 : x
  2. Step 2: Convert to fraction form
    152.59/229.04 = 135.35/x
  3. Step 3: Cross multiply
    152.59x = 229.04 × 135.35
  4. Step 4: Simplify right side
    152.59x = 30,998.74
  5. Step 5: Solve for x
    x = 30,998.74/152.59
  6. Step 6: Final answer
    x = 203.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.