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Finding the Fourth Proportional to 152.31, 229.24 and 114.00

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Solution

The fourth proportional to 152.31, 229.24 and 114.00 is: 171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.31 : 229.24 = 114.00 : x
  2. Step 2: Convert to fraction form
    152.31/229.24 = 114.00/x
  3. Step 3: Cross multiply
    152.31x = 229.24 × 114.00
  4. Step 4: Simplify right side
    152.31x = 26,132.97
  5. Step 5: Solve for x
    x = 26,132.97/152.31
  6. Step 6: Final answer
    x = 171.57

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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.