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Finding the Fourth Proportional to 228.69, 342.81 and 82.35

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Solution

The fourth proportional to 228.69, 342.81 and 82.35 is: 123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.69 : 342.81 = 82.35 : x
  2. Step 2: Convert to fraction form
    228.69/342.81 = 82.35/x
  3. Step 3: Cross multiply
    228.69x = 342.81 × 82.35
  4. Step 4: Simplify right side
    228.69x = 28,230.40
  5. Step 5: Solve for x
    x = 28,230.40/228.69
  6. Step 6: Final answer
    x = 123.44

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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.