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Finding the Fourth Proportional to 215.80, 297.66 and 153.76

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Solution

The fourth proportional to 215.80, 297.66 and 153.76 is: 212.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.80 : 297.66 = 153.76 : x
  2. Step 2: Convert to fraction form
    215.80/297.66 = 153.76/x
  3. Step 3: Cross multiply
    215.80x = 297.66 × 153.76
  4. Step 4: Simplify right side
    215.80x = 45,768.20
  5. Step 5: Solve for x
    x = 45,768.20/215.80
  6. Step 6: Final answer
    x = 212.09

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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.