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Finding the Fourth Proportional to 228.34, 314.58 and 158.14

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Solution

The fourth proportional to 228.34, 314.58 and 158.14 is: 217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.34 : 314.58 = 158.14 : x
  2. Step 2: Convert to fraction form
    228.34/314.58 = 158.14/x
  3. Step 3: Cross multiply
    228.34x = 314.58 × 158.14
  4. Step 4: Simplify right side
    228.34x = 49,747.68
  5. Step 5: Solve for x
    x = 49,747.68/228.34
  6. Step 6: Final answer
    x = 217.87

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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.