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Finding the Fourth Proportional to 215.28, 322.40 and 117.63

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Solution

The fourth proportional to 215.28, 322.40 and 117.63 is: 176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.28 : 322.40 = 117.63 : x
  2. Step 2: Convert to fraction form
    215.28/322.40 = 117.63/x
  3. Step 3: Cross multiply
    215.28x = 322.40 × 117.63
  4. Step 4: Simplify right side
    215.28x = 37,924.28
  5. Step 5: Solve for x
    x = 37,924.28/215.28
  6. Step 6: Final answer
    x = 176.17

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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.