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Finding the Fourth Proportional to 228.24, 342.16 and 189.61

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Solution

The fourth proportional to 228.24, 342.16 and 189.61 is: 284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.24 : 342.16 = 189.61 : x
  2. Step 2: Convert to fraction form
    228.24/342.16 = 189.61/x
  3. Step 3: Cross multiply
    228.24x = 342.16 × 189.61
  4. Step 4: Simplify right side
    228.24x = 64,876.96
  5. Step 5: Solve for x
    x = 64,876.96/228.24
  6. Step 6: Final answer
    x = 284.25

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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.