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Finding the Fourth Proportional to 228.18, 314.97 and 179.13

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Solution

The fourth proportional to 228.18, 314.97 and 179.13 is: 247.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.18 : 314.97 = 179.13 : x
  2. Step 2: Convert to fraction form
    228.18/314.97 = 179.13/x
  3. Step 3: Cross multiply
    228.18x = 314.97 × 179.13
  4. Step 4: Simplify right side
    228.18x = 56,420.58
  5. Step 5: Solve for x
    x = 56,420.58/228.18
  6. Step 6: Final answer
    x = 247.26

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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.