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Finding the Fourth Proportional to 228.01, 314.56 and 140.53

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Solution

The fourth proportional to 228.01, 314.56 and 140.53 is: 193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.01 : 314.56 = 140.53 : x
  2. Step 2: Convert to fraction form
    228.01/314.56 = 140.53/x
  3. Step 3: Cross multiply
    228.01x = 314.56 × 140.53
  4. Step 4: Simplify right side
    228.01x = 44,205.12
  5. Step 5: Solve for x
    x = 44,205.12/228.01
  6. Step 6: Final answer
    x = 193.87

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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.