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Finding the Fourth Proportional to 218.16, 301.44 and 160.32

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Solution

The fourth proportional to 218.16, 301.44 and 160.32 is: 221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.16 : 301.44 = 160.32 : x
  2. Step 2: Convert to fraction form
    218.16/301.44 = 160.32/x
  3. Step 3: Cross multiply
    218.16x = 301.44 × 160.32
  4. Step 4: Simplify right side
    218.16x = 48,326.86
  5. Step 5: Solve for x
    x = 48,326.86/218.16
  6. Step 6: Final answer
    x = 221.52

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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.