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Finding the Fourth Proportional to 155.60, 213.34 and 152.88

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Solution

The fourth proportional to 155.60, 213.34 and 152.88 is: 209.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.60 : 213.34 = 152.88 : x
  2. Step 2: Convert to fraction form
    155.60/213.34 = 152.88/x
  3. Step 3: Cross multiply
    155.60x = 213.34 × 152.88
  4. Step 4: Simplify right side
    155.60x = 32,615.42
  5. Step 5: Solve for x
    x = 32,615.42/155.60
  6. Step 6: Final answer
    x = 209.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.