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Finding the Fourth Proportional to 173.02, 258.44 and 147.18

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Solution

The fourth proportional to 173.02, 258.44 and 147.18 is: 219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.02 : 258.44 = 147.18 : x
  2. Step 2: Convert to fraction form
    173.02/258.44 = 147.18/x
  3. Step 3: Cross multiply
    173.02x = 258.44 × 147.18
  4. Step 4: Simplify right side
    173.02x = 38,036.46
  5. Step 5: Solve for x
    x = 38,036.46/173.02
  6. Step 6: Final answer
    x = 219.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.