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Finding the Fourth Proportional to 228.49, 342.82 and 74.42

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Solution

The fourth proportional to 228.49, 342.82 and 74.42 is: 111.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.49 : 342.82 = 74.42 : x
  2. Step 2: Convert to fraction form
    228.49/342.82 = 74.42/x
  3. Step 3: Cross multiply
    228.49x = 342.82 × 74.42
  4. Step 4: Simplify right side
    228.49x = 25,513.84
  5. Step 5: Solve for x
    x = 25,513.84/228.49
  6. Step 6: Final answer
    x = 111.66

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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.