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Finding the Fourth Proportional to 228.22, 314.78 and 140.93

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Solution

The fourth proportional to 228.22, 314.78 and 140.93 is: 194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.22 : 314.78 = 140.93 : x
  2. Step 2: Convert to fraction form
    228.22/314.78 = 140.93/x
  3. Step 3: Cross multiply
    228.22x = 314.78 × 140.93
  4. Step 4: Simplify right side
    228.22x = 44,361.95
  5. Step 5: Solve for x
    x = 44,361.95/228.22
  6. Step 6: Final answer
    x = 194.38

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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.