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Finding the Fourth Proportional to 215.75, 297.69 and 145.82

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Solution

The fourth proportional to 215.75, 297.69 and 145.82 is: 201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.75 : 297.69 = 145.82 : x
  2. Step 2: Convert to fraction form
    215.75/297.69 = 145.82/x
  3. Step 3: Cross multiply
    215.75x = 297.69 × 145.82
  4. Step 4: Simplify right side
    215.75x = 43,409.16
  5. Step 5: Solve for x
    x = 43,409.16/215.75
  6. Step 6: Final answer
    x = 201.20

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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.