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Finding the Fourth Proportional to 215.68, 297.46 and 150.07

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Solution

The fourth proportional to 215.68, 297.46 and 150.07 is: 206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.68 : 297.46 = 150.07 : x
  2. Step 2: Convert to fraction form
    215.68/297.46 = 150.07/x
  3. Step 3: Cross multiply
    215.68x = 297.46 × 150.07
  4. Step 4: Simplify right side
    215.68x = 44,639.82
  5. Step 5: Solve for x
    x = 44,639.82/215.68
  6. Step 6: Final answer
    x = 206.97

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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.