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Finding the Fourth Proportional to 228.79, 315.58 and 182.09

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Solution

The fourth proportional to 228.79, 315.58 and 182.09 is: 251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.79 : 315.58 = 182.09 : x
  2. Step 2: Convert to fraction form
    228.79/315.58 = 182.09/x
  3. Step 3: Cross multiply
    228.79x = 315.58 × 182.09
  4. Step 4: Simplify right side
    228.79x = 57,463.96
  5. Step 5: Solve for x
    x = 57,463.96/228.79
  6. Step 6: Final answer
    x = 251.16

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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.