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Finding the Fourth Proportional to 258.85, 357.09 and 176.08

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Solution

The fourth proportional to 258.85, 357.09 and 176.08 is: 242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.85 : 357.09 = 176.08 : x
  2. Step 2: Convert to fraction form
    258.85/357.09 = 176.08/x
  3. Step 3: Cross multiply
    258.85x = 357.09 × 176.08
  4. Step 4: Simplify right side
    258.85x = 62,876.41
  5. Step 5: Solve for x
    x = 62,876.41/258.85
  6. Step 6: Final answer
    x = 242.91

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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.