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Finding the Fourth Proportional to 228.46, 315.24 and 135.22

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Solution

The fourth proportional to 228.46, 315.24 and 135.22 is: 186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.46 : 315.24 = 135.22 : x
  2. Step 2: Convert to fraction form
    228.46/315.24 = 135.22/x
  3. Step 3: Cross multiply
    228.46x = 315.24 × 135.22
  4. Step 4: Simplify right side
    228.46x = 42,626.75
  5. Step 5: Solve for x
    x = 42,626.75/228.46
  6. Step 6: Final answer
    x = 186.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.