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Finding the Fourth Proportional to 228.13, 342.40 and 106.46

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Solution

The fourth proportional to 228.13, 342.40 and 106.46 is: 159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.13 : 342.40 = 106.46 : x
  2. Step 2: Convert to fraction form
    228.13/342.40 = 106.46/x
  3. Step 3: Cross multiply
    228.13x = 342.40 × 106.46
  4. Step 4: Simplify right side
    228.13x = 36,452.49
  5. Step 5: Solve for x
    x = 36,452.49/228.13
  6. Step 6: Final answer
    x = 159.79

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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.