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Finding the Fourth Proportional to 222.47, 307.19 and 185.82

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Solution

The fourth proportional to 222.47, 307.19 and 185.82 is: 256.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.47 : 307.19 = 185.82 : x
  2. Step 2: Convert to fraction form
    222.47/307.19 = 185.82/x
  3. Step 3: Cross multiply
    222.47x = 307.19 × 185.82
  4. Step 4: Simplify right side
    222.47x = 57,081.12
  5. Step 5: Solve for x
    x = 57,081.12/222.47
  6. Step 6: Final answer
    x = 256.58

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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.