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Finding the Fourth Proportional to 215.87, 297.90 and 117.63

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Solution

The fourth proportional to 215.87, 297.90 and 117.63 is: 162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.87 : 297.90 = 117.63 : x
  2. Step 2: Convert to fraction form
    215.87/297.90 = 117.63/x
  3. Step 3: Cross multiply
    215.87x = 297.90 × 117.63
  4. Step 4: Simplify right side
    215.87x = 35,040.86
  5. Step 5: Solve for x
    x = 35,040.86/215.87
  6. Step 6: Final answer
    x = 162.32

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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.