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Finding the Fourth Proportional to 224.90, 309.75 and 166.58

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Solution

The fourth proportional to 224.90, 309.75 and 166.58 is: 229.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.90 : 309.75 = 166.58 : x
  2. Step 2: Convert to fraction form
    224.90/309.75 = 166.58/x
  3. Step 3: Cross multiply
    224.90x = 309.75 × 166.58
  4. Step 4: Simplify right side
    224.90x = 51,598.16
  5. Step 5: Solve for x
    x = 51,598.16/224.90
  6. Step 6: Final answer
    x = 229.43

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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.