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Finding the Fourth Proportional to 228.96, 316.00 and 140.50

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Solution

The fourth proportional to 228.96, 316.00 and 140.50 is: 193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.96 : 316.00 = 140.50 : x
  2. Step 2: Convert to fraction form
    228.96/316.00 = 140.50/x
  3. Step 3: Cross multiply
    228.96x = 316.00 × 140.50
  4. Step 4: Simplify right side
    228.96x = 44,398.57
  5. Step 5: Solve for x
    x = 44,398.57/228.96
  6. Step 6: Final answer
    x = 193.91

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Why These Related Problems?

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