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Finding the Fourth Proportional to 228.65, 342.89 and 82.36

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Solution

The fourth proportional to 228.65, 342.89 and 82.36 is: 123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.65 : 342.89 = 82.36 : x
  2. Step 2: Convert to fraction form
    228.65/342.89 = 82.36/x
  3. Step 3: Cross multiply
    228.65x = 342.89 × 82.36
  4. Step 4: Simplify right side
    228.65x = 28,240.42
  5. Step 5: Solve for x
    x = 28,240.42/228.65
  6. Step 6: Final answer
    x = 123.51

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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.