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Finding the Fourth Proportional to 277.62, 416.31 and 106.50

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Solution

The fourth proportional to 277.62, 416.31 and 106.50 is: 159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.62 : 416.31 = 106.50 : x
  2. Step 2: Convert to fraction form
    277.62/416.31 = 106.50/x
  3. Step 3: Cross multiply
    277.62x = 416.31 × 106.50
  4. Step 4: Simplify right side
    277.62x = 44,337.02
  5. Step 5: Solve for x
    x = 44,337.02/277.62
  6. Step 6: Final answer
    x = 159.70

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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.