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Finding the Fourth Proportional to 245.14, 337.98 and 157.66

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Solution

The fourth proportional to 245.14, 337.98 and 157.66 is: 217.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.14 : 337.98 = 157.66 : x
  2. Step 2: Convert to fraction form
    245.14/337.98 = 157.66/x
  3. Step 3: Cross multiply
    245.14x = 337.98 × 157.66
  4. Step 4: Simplify right side
    245.14x = 53,285.93
  5. Step 5: Solve for x
    x = 53,285.93/245.14
  6. Step 6: Final answer
    x = 217.37

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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.