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Finding the Fourth Proportional to 277.46, 416.16 and 106.46

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Solution

The fourth proportional to 277.46, 416.16 and 106.46 is: 159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.46 : 416.16 = 106.46 : x
  2. Step 2: Convert to fraction form
    277.46/416.16 = 106.46/x
  3. Step 3: Cross multiply
    277.46x = 416.16 × 106.46
  4. Step 4: Simplify right side
    277.46x = 44,304.39
  5. Step 5: Solve for x
    x = 44,304.39/277.46
  6. Step 6: Final answer
    x = 159.68

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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.