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Finding the Fourth Proportional to 221.92, 306.48 and 152.16

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Solution

The fourth proportional to 221.92, 306.48 and 152.16 is: 210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.92 : 306.48 = 152.16 : x
  2. Step 2: Convert to fraction form
    221.92/306.48 = 152.16/x
  3. Step 3: Cross multiply
    221.92x = 306.48 × 152.16
  4. Step 4: Simplify right side
    221.92x = 46,633.42
  5. Step 5: Solve for x
    x = 46,633.42/221.92
  6. Step 6: Final answer
    x = 210.14

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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.