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Finding the Fourth Proportional to 277.52, 416.24 and 106.52

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Solution

The fourth proportional to 277.52, 416.24 and 106.52 is: 159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.52 : 416.24 = 106.52 : x
  2. Step 2: Convert to fraction form
    277.52/416.24 = 106.52/x
  3. Step 3: Cross multiply
    277.52x = 416.24 × 106.52
  4. Step 4: Simplify right side
    277.52x = 44,337.88
  5. Step 5: Solve for x
    x = 44,337.88/277.52
  6. Step 6: Final answer
    x = 159.76

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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.