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Finding the Fourth Proportional to 228.71, 342.21 and 135.83

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Solution

The fourth proportional to 228.71, 342.21 and 135.83 is: 203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.71 : 342.21 = 135.83 : x
  2. Step 2: Convert to fraction form
    228.71/342.21 = 135.83/x
  3. Step 3: Cross multiply
    228.71x = 342.21 × 135.83
  4. Step 4: Simplify right side
    228.71x = 46,480.67
  5. Step 5: Solve for x
    x = 46,480.67/228.71
  6. Step 6: Final answer
    x = 203.23

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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.