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Finding the Fourth Proportional to 152.91, 229.50 and 114.60

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Solution

The fourth proportional to 152.91, 229.50 and 114.60 is: 172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.91 : 229.50 = 114.60 : x
  2. Step 2: Convert to fraction form
    152.91/229.50 = 114.60/x
  3. Step 3: Cross multiply
    152.91x = 229.50 × 114.60
  4. Step 4: Simplify right side
    152.91x = 26,300.70
  5. Step 5: Solve for x
    x = 26,300.70/152.91
  6. Step 6: Final answer
    x = 172.00

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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.