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Finding the Fourth Proportional to 222.81, 307.56 and 135.47

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Solution

The fourth proportional to 222.81, 307.56 and 135.47 is: 186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.81 : 307.56 = 135.47 : x
  2. Step 2: Convert to fraction form
    222.81/307.56 = 135.47/x
  3. Step 3: Cross multiply
    222.81x = 307.56 × 135.47
  4. Step 4: Simplify right side
    222.81x = 41,663.62
  5. Step 5: Solve for x
    x = 41,663.62/222.81
  6. Step 6: Final answer
    x = 186.99

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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.