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Finding the Fourth Proportional to 228.78, 342.92 and 105.32

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Solution

The fourth proportional to 228.78, 342.92 and 105.32 is: 157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.78 : 342.92 = 105.32 : x
  2. Step 2: Convert to fraction form
    228.78/342.92 = 105.32/x
  3. Step 3: Cross multiply
    228.78x = 342.92 × 105.32
  4. Step 4: Simplify right side
    228.78x = 36,114.09
  5. Step 5: Solve for x
    x = 36,114.09/228.78
  6. Step 6: Final answer
    x = 157.86

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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.