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Finding the Fourth Proportional to 547.16, 820.80 and 157.16

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Solution

The fourth proportional to 547.16, 820.80 and 157.16 is: 235.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.16 : 820.80 = 157.16 : x
  2. Step 2: Convert to fraction form
    547.16/820.80 = 157.16/x
  3. Step 3: Cross multiply
    547.16x = 820.80 × 157.16
  4. Step 4: Simplify right side
    547.16x = 128,996.93
  5. Step 5: Solve for x
    x = 128,996.93/547.16
  6. Step 6: Final answer
    x = 235.76

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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.