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Finding the Fourth Proportional to 228.58, 315.41 and 135.31

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Solution

The fourth proportional to 228.58, 315.41 and 135.31 is: 186.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.58 : 315.41 = 135.31 : x
  2. Step 2: Convert to fraction form
    228.58/315.41 = 135.31/x
  3. Step 3: Cross multiply
    228.58x = 315.41 × 135.31
  4. Step 4: Simplify right side
    228.58x = 42,678.13
  5. Step 5: Solve for x
    x = 42,678.13/228.58
  6. Step 6: Final answer
    x = 186.71

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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.