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Finding the Fourth Proportional to 228.26, 314.88 and 140.78

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Solution

The fourth proportional to 228.26, 314.88 and 140.78 is: 194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.26 : 314.88 = 140.78 : x
  2. Step 2: Convert to fraction form
    228.26/314.88 = 140.78/x
  3. Step 3: Cross multiply
    228.26x = 314.88 × 140.78
  4. Step 4: Simplify right side
    228.26x = 44,328.81
  5. Step 5: Solve for x
    x = 44,328.81/228.26
  6. Step 6: Final answer
    x = 194.20

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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.