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Finding the Fourth Proportional to 228.52, 342.70 and 106.84

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Solution

The fourth proportional to 228.52, 342.70 and 106.84 is: 160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.52 : 342.70 = 106.84 : x
  2. Step 2: Convert to fraction form
    228.52/342.70 = 106.84/x
  3. Step 3: Cross multiply
    228.52x = 342.70 × 106.84
  4. Step 4: Simplify right side
    228.52x = 36,614.07
  5. Step 5: Solve for x
    x = 36,614.07/228.52
  6. Step 6: Final answer
    x = 160.22

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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.