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Finding the Fourth Proportional to 222.48, 332.08 and 193.52

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Solution

The fourth proportional to 222.48, 332.08 and 193.52 is: 288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.48 : 332.08 = 193.52 : x
  2. Step 2: Convert to fraction form
    222.48/332.08 = 193.52/x
  3. Step 3: Cross multiply
    222.48x = 332.08 × 193.52
  4. Step 4: Simplify right side
    222.48x = 64,264.12
  5. Step 5: Solve for x
    x = 64,264.12/222.48
  6. Step 6: Final answer
    x = 288.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.