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Finding the Fourth Proportional to 152.64, 229.05 and 116.46

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Solution

The fourth proportional to 152.64, 229.05 and 116.46 is: 174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.64 : 229.05 = 116.46 : x
  2. Step 2: Convert to fraction form
    152.64/229.05 = 116.46/x
  3. Step 3: Cross multiply
    152.64x = 229.05 × 116.46
  4. Step 4: Simplify right side
    152.64x = 26,675.16
  5. Step 5: Solve for x
    x = 26,675.16/152.64
  6. Step 6: Final answer
    x = 174.76

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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.