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Finding the Fourth Proportional to 258.23, 356.30 and 147.67

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Solution

The fourth proportional to 258.23, 356.30 and 147.67 is: 203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.23 : 356.30 = 147.67 : x
  2. Step 2: Convert to fraction form
    258.23/356.30 = 147.67/x
  3. Step 3: Cross multiply
    258.23x = 356.30 × 147.67
  4. Step 4: Simplify right side
    258.23x = 52,613.75
  5. Step 5: Solve for x
    x = 52,613.75/258.23
  6. Step 6: Final answer
    x = 203.75

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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.