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Finding the Fourth Proportional to 228.42, 342.47 and 112.86

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Solution

The fourth proportional to 228.42, 342.47 and 112.86 is: 169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.42 : 342.47 = 112.86 : x
  2. Step 2: Convert to fraction form
    228.42/342.47 = 112.86/x
  3. Step 3: Cross multiply
    228.42x = 342.47 × 112.86
  4. Step 4: Simplify right side
    228.42x = 38,650.60
  5. Step 5: Solve for x
    x = 38,650.60/228.42
  6. Step 6: Final answer
    x = 169.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.