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Finding the Fourth Proportional to 216.10, 297.61 and 215.42

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Solution

The fourth proportional to 216.10, 297.61 and 215.42 is: 296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.10 : 297.61 = 215.42 : x
  2. Step 2: Convert to fraction form
    216.10/297.61 = 215.42/x
  3. Step 3: Cross multiply
    216.10x = 297.61 × 215.42
  4. Step 4: Simplify right side
    216.10x = 64,111.35
  5. Step 5: Solve for x
    x = 64,111.35/216.10
  6. Step 6: Final answer
    x = 296.68

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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.