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Finding the Fourth Proportional to 228.14, 314.61 and 158.21

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Solution

The fourth proportional to 228.14, 314.61 and 158.21 is: 218.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.14 : 314.61 = 158.21 : x
  2. Step 2: Convert to fraction form
    228.14/314.61 = 158.21/x
  3. Step 3: Cross multiply
    228.14x = 314.61 × 158.21
  4. Step 4: Simplify right side
    228.14x = 49,772.88
  5. Step 5: Solve for x
    x = 49,772.88/228.14
  6. Step 6: Final answer
    x = 218.17

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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.