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Finding the Fourth Proportional to 233.03, 349.25 and 208.52

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Solution

The fourth proportional to 233.03, 349.25 and 208.52 is: 312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.03 : 349.25 = 208.52 : x
  2. Step 2: Convert to fraction form
    233.03/349.25 = 208.52/x
  3. Step 3: Cross multiply
    233.03x = 349.25 × 208.52
  4. Step 4: Simplify right side
    233.03x = 72,822.82
  5. Step 5: Solve for x
    x = 72,822.82/233.03
  6. Step 6: Final answer
    x = 312.51

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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.