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Finding the Fourth Proportional to 557.88, 836.80 and 173.16

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Solution

The fourth proportional to 557.88, 836.80 and 173.16 is: 259.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.88 : 836.80 = 173.16 : x
  2. Step 2: Convert to fraction form
    557.88/836.80 = 173.16/x
  3. Step 3: Cross multiply
    557.88x = 836.80 × 173.16
  4. Step 4: Simplify right side
    557.88x = 144,900.29
  5. Step 5: Solve for x
    x = 144,900.29/557.88
  6. Step 6: Final answer
    x = 259.73

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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.