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Finding the Fourth Proportional to 215.70, 297.66 and 117.46

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Solution

The fourth proportional to 215.70, 297.66 and 117.46 is: 162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.70 : 297.66 = 117.46 : x
  2. Step 2: Convert to fraction form
    215.70/297.66 = 117.46/x
  3. Step 3: Cross multiply
    215.70x = 297.66 × 117.46
  4. Step 4: Simplify right side
    215.70x = 34,963.14
  5. Step 5: Solve for x
    x = 34,963.14/215.70
  6. Step 6: Final answer
    x = 162.10

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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.