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Finding the Fourth Proportional to 228.22, 314.80 and 165.95

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Solution

The fourth proportional to 228.22, 314.80 and 165.95 is: 228.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.22 : 314.80 = 165.95 : x
  2. Step 2: Convert to fraction form
    228.22/314.80 = 165.95/x
  3. Step 3: Cross multiply
    228.22x = 314.80 × 165.95
  4. Step 4: Simplify right side
    228.22x = 52,240.25
  5. Step 5: Solve for x
    x = 52,240.25/228.22
  6. Step 6: Final answer
    x = 228.91

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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.