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Finding the Fourth Proportional to 554.60, 831.89 and 169.85

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Solution

The fourth proportional to 554.60, 831.89 and 169.85 is: 254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.60 : 831.89 = 169.85 : x
  2. Step 2: Convert to fraction form
    554.60/831.89 = 169.85/x
  3. Step 3: Cross multiply
    554.60x = 831.89 × 169.85
  4. Step 4: Simplify right side
    554.60x = 141,296.52
  5. Step 5: Solve for x
    x = 141,296.52/554.60
  6. Step 6: Final answer
    x = 254.77

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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.