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Finding the Fourth Proportional to 215.24, 323.38 and 177.32

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Solution

The fourth proportional to 215.24, 323.38 and 177.32 is: 266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.24 : 323.38 = 177.32 : x
  2. Step 2: Convert to fraction form
    215.24/323.38 = 177.32/x
  3. Step 3: Cross multiply
    215.24x = 323.38 × 177.32
  4. Step 4: Simplify right side
    215.24x = 57,341.74
  5. Step 5: Solve for x
    x = 57,341.74/215.24
  6. Step 6: Final answer
    x = 266.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.