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Finding the Fourth Proportional to 222.77, 307.46 and 129.53

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Solution

The fourth proportional to 222.77, 307.46 and 129.53 is: 178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.77 : 307.46 = 129.53 : x
  2. Step 2: Convert to fraction form
    222.77/307.46 = 129.53/x
  3. Step 3: Cross multiply
    222.77x = 307.46 × 129.53
  4. Step 4: Simplify right side
    222.77x = 39,826.39
  5. Step 5: Solve for x
    x = 39,826.39/222.77
  6. Step 6: Final answer
    x = 178.78

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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.