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Finding the Fourth Proportional to 228.17, 314.73 and 140.75

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Solution

The fourth proportional to 228.17, 314.73 and 140.75 is: 194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.17 : 314.73 = 140.75 : x
  2. Step 2: Convert to fraction form
    228.17/314.73 = 140.75/x
  3. Step 3: Cross multiply
    228.17x = 314.73 × 140.75
  4. Step 4: Simplify right side
    228.17x = 44,298.25
  5. Step 5: Solve for x
    x = 44,298.25/228.17
  6. Step 6: Final answer
    x = 194.15

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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.