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Finding the Fourth Proportional to 228.46, 342.75 and 155.16

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Solution

The fourth proportional to 228.46, 342.75 and 155.16 is: 232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.46 : 342.75 = 155.16 : x
  2. Step 2: Convert to fraction form
    228.46/342.75 = 155.16/x
  3. Step 3: Cross multiply
    228.46x = 342.75 × 155.16
  4. Step 4: Simplify right side
    228.46x = 53,181.09
  5. Step 5: Solve for x
    x = 53,181.09/228.46
  6. Step 6: Final answer
    x = 232.78

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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.