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Finding the Fourth Proportional to 228.42, 342.78 and 91.44

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Solution

The fourth proportional to 228.42, 342.78 and 91.44 is: 137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.42 : 342.78 = 91.44 : x
  2. Step 2: Convert to fraction form
    228.42/342.78 = 91.44/x
  3. Step 3: Cross multiply
    228.42x = 342.78 × 91.44
  4. Step 4: Simplify right side
    228.42x = 31,343.46
  5. Step 5: Solve for x
    x = 31,343.46/228.42
  6. Step 6: Final answer
    x = 137.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.