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Finding the Fourth Proportional to 233.47, 349.66 and 207.42

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Solution

The fourth proportional to 233.47, 349.66 and 207.42 is: 310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.47 : 349.66 = 207.42 : x
  2. Step 2: Convert to fraction form
    233.47/349.66 = 207.42/x
  3. Step 3: Cross multiply
    233.47x = 349.66 × 207.42
  4. Step 4: Simplify right side
    233.47x = 72,526.48
  5. Step 5: Solve for x
    x = 72,526.48/233.47
  6. Step 6: Final answer
    x = 310.65

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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.