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Finding the Fourth Proportional to 547.10, 820.66 and 157.15

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Solution

The fourth proportional to 547.10, 820.66 and 157.15 is: 235.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.10 : 820.66 = 157.15 : x
  2. Step 2: Convert to fraction form
    547.10/820.66 = 157.15/x
  3. Step 3: Cross multiply
    547.10x = 820.66 × 157.15
  4. Step 4: Simplify right side
    547.10x = 128,966.72
  5. Step 5: Solve for x
    x = 128,966.72/547.10
  6. Step 6: Final answer
    x = 235.73

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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.