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Finding the Fourth Proportional to 222.15, 332.64 and 215.65

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Solution

The fourth proportional to 222.15, 332.64 and 215.65 is: 322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.15 : 332.64 = 215.65 : x
  2. Step 2: Convert to fraction form
    222.15/332.64 = 215.65/x
  3. Step 3: Cross multiply
    222.15x = 332.64 × 215.65
  4. Step 4: Simplify right side
    222.15x = 71,733.82
  5. Step 5: Solve for x
    x = 71,733.82/222.15
  6. Step 6: Final answer
    x = 322.91

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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.