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Finding the Fourth Proportional to 218.91, 328.09 and 157.12

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Solution

The fourth proportional to 218.91, 328.09 and 157.12 is: 235.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.91 : 328.09 = 157.12 : x
  2. Step 2: Convert to fraction form
    218.91/328.09 = 157.12/x
  3. Step 3: Cross multiply
    218.91x = 328.09 × 157.12
  4. Step 4: Simplify right side
    218.91x = 51,549.50
  5. Step 5: Solve for x
    x = 51,549.50/218.91
  6. Step 6: Final answer
    x = 235.48

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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.