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Finding the Fourth Proportional to 215.08, 296.64 and 149.62

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Solution

The fourth proportional to 215.08, 296.64 and 149.62 is: 206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.08 : 296.64 = 149.62 : x
  2. Step 2: Convert to fraction form
    215.08/296.64 = 149.62/x
  3. Step 3: Cross multiply
    215.08x = 296.64 × 149.62
  4. Step 4: Simplify right side
    215.08x = 44,383.28
  5. Step 5: Solve for x
    x = 44,383.28/215.08
  6. Step 6: Final answer
    x = 206.36

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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.