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Finding the Fourth Proportional to 222.34, 306.86 and 135.02

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Solution

The fourth proportional to 222.34, 306.86 and 135.02 is: 186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.34 : 306.86 = 135.02 : x
  2. Step 2: Convert to fraction form
    222.34/306.86 = 135.02/x
  3. Step 3: Cross multiply
    222.34x = 306.86 × 135.02
  4. Step 4: Simplify right side
    222.34x = 41,432.24
  5. Step 5: Solve for x
    x = 41,432.24/222.34
  6. Step 6: Final answer
    x = 186.35

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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.