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Finding the Fourth Proportional to 276.60, 381.64 and 160.16

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Solution

The fourth proportional to 276.60, 381.64 and 160.16 is: 220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.60 : 381.64 = 160.16 : x
  2. Step 2: Convert to fraction form
    276.60/381.64 = 160.16/x
  3. Step 3: Cross multiply
    276.60x = 381.64 × 160.16
  4. Step 4: Simplify right side
    276.60x = 61,123.46
  5. Step 5: Solve for x
    x = 61,123.46/276.60
  6. Step 6: Final answer
    x = 220.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.