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Finding the Fourth Proportional to 228.42, 342.67 and 98.42

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Solution

The fourth proportional to 228.42, 342.67 and 98.42 is: 147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.42 : 342.67 = 98.42 : x
  2. Step 2: Convert to fraction form
    228.42/342.67 = 98.42/x
  3. Step 3: Cross multiply
    228.42x = 342.67 × 98.42
  4. Step 4: Simplify right side
    228.42x = 33,725.58
  5. Step 5: Solve for x
    x = 33,725.58/228.42
  6. Step 6: Final answer
    x = 147.65

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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.