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Finding the Fourth Proportional to 233.39, 349.58 and 179.22

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Solution

The fourth proportional to 233.39, 349.58 and 179.22 is: 268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.39 : 349.58 = 179.22 : x
  2. Step 2: Convert to fraction form
    233.39/349.58 = 179.22/x
  3. Step 3: Cross multiply
    233.39x = 349.58 × 179.22
  4. Step 4: Simplify right side
    233.39x = 62,653.49
  5. Step 5: Solve for x
    x = 62,653.49/233.39
  6. Step 6: Final answer
    x = 268.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.