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Finding the Fourth Proportional to 221.61, 332.43 and 118.77

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Solution

The fourth proportional to 221.61, 332.43 and 118.77 is: 178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.61 : 332.43 = 118.77 : x
  2. Step 2: Convert to fraction form
    221.61/332.43 = 118.77/x
  3. Step 3: Cross multiply
    221.61x = 332.43 × 118.77
  4. Step 4: Simplify right side
    221.61x = 39,482.71
  5. Step 5: Solve for x
    x = 39,482.71/221.61
  6. Step 6: Final answer
    x = 178.16

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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.