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Finding the Fourth Proportional to 228.35, 315.12 and 133.85

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Solution

The fourth proportional to 228.35, 315.12 and 133.85 is: 184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.35 : 315.12 = 133.85 : x
  2. Step 2: Convert to fraction form
    228.35/315.12 = 133.85/x
  3. Step 3: Cross multiply
    228.35x = 315.12 × 133.85
  4. Step 4: Simplify right side
    228.35x = 42,176.90
  5. Step 5: Solve for x
    x = 42,176.90/228.35
  6. Step 6: Final answer
    x = 184.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.