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Finding the Fourth Proportional to 297.82, 411.20 and 187.35

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Solution

The fourth proportional to 297.82, 411.20 and 187.35 is: 258.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.82 : 411.20 = 187.35 : x
  2. Step 2: Convert to fraction form
    297.82/411.20 = 187.35/x
  3. Step 3: Cross multiply
    297.82x = 411.20 × 187.35
  4. Step 4: Simplify right side
    297.82x = 77,038.32
  5. Step 5: Solve for x
    x = 77,038.32/297.82
  6. Step 6: Final answer
    x = 258.67

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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.