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Finding the Fourth Proportional to 228.02, 342.05 and 81.76

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Solution

The fourth proportional to 228.02, 342.05 and 81.76 is: 122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.02 : 342.05 = 81.76 : x
  2. Step 2: Convert to fraction form
    228.02/342.05 = 81.76/x
  3. Step 3: Cross multiply
    228.02x = 342.05 × 81.76
  4. Step 4: Simplify right side
    228.02x = 27,963.89
  5. Step 5: Solve for x
    x = 27,963.89/228.02
  6. Step 6: Final answer
    x = 122.64

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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.