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Finding the Fourth Proportional to 342.85, 473.13 and 187.60

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Solution

The fourth proportional to 342.85, 473.13 and 187.60 is: 258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.85 : 473.13 = 187.60 : x
  2. Step 2: Convert to fraction form
    342.85/473.13 = 187.60/x
  3. Step 3: Cross multiply
    342.85x = 473.13 × 187.60
  4. Step 4: Simplify right side
    342.85x = 88,758.01
  5. Step 5: Solve for x
    x = 88,758.01/342.85
  6. Step 6: Final answer
    x = 258.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.