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Finding the Fourth Proportional to 222.80, 307.35 and 156.38

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Solution

The fourth proportional to 222.80, 307.35 and 156.38 is: 215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.80 : 307.35 = 156.38 : x
  2. Step 2: Convert to fraction form
    222.80/307.35 = 156.38/x
  3. Step 3: Cross multiply
    222.80x = 307.35 × 156.38
  4. Step 4: Simplify right side
    222.80x = 48,063.39
  5. Step 5: Solve for x
    x = 48,063.39/222.80
  6. Step 6: Final answer
    x = 215.72

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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.