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Finding the Fourth Proportional to 554.17, 831.39 and 169.42

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Solution

The fourth proportional to 554.17, 831.39 and 169.42 is: 254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.17 : 831.39 = 169.42 : x
  2. Step 2: Convert to fraction form
    554.17/831.39 = 169.42/x
  3. Step 3: Cross multiply
    554.17x = 831.39 × 169.42
  4. Step 4: Simplify right side
    554.17x = 140,854.09
  5. Step 5: Solve for x
    x = 140,854.09/554.17
  6. Step 6: Final answer
    x = 254.17

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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.