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Finding the Fourth Proportional to 557.86, 837 and 173.14

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Solution

The fourth proportional to 557.86, 837 and 173.14 is: 259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.86 : 837 = 173.14 : x
  2. Step 2: Convert to fraction form
    557.86/837 = 173.14/x
  3. Step 3: Cross multiply
    557.86x = 837 × 173.14
  4. Step 4: Simplify right side
    557.86x = 144,918.18
  5. Step 5: Solve for x
    x = 144,918.18/557.86
  6. Step 6: Final answer
    x = 259.78

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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.