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Finding the Fourth Proportional to 297.90, 411.29 and 187.54

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Solution

The fourth proportional to 297.90, 411.29 and 187.54 is: 258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.90 : 411.29 = 187.54 : x
  2. Step 2: Convert to fraction form
    297.90/411.29 = 187.54/x
  3. Step 3: Cross multiply
    297.90x = 411.29 × 187.54
  4. Step 4: Simplify right side
    297.90x = 77,130.33
  5. Step 5: Solve for x
    x = 77,130.33/297.90
  6. Step 6: Final answer
    x = 258.92

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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.