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Finding the Fourth Proportional to 253.23, 378.12 and 207.66

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Solution

The fourth proportional to 253.23, 378.12 and 207.66 is: 310.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.23 : 378.12 = 207.66 : x
  2. Step 2: Convert to fraction form
    253.23/378.12 = 207.66/x
  3. Step 3: Cross multiply
    253.23x = 378.12 × 207.66
  4. Step 4: Simplify right side
    253.23x = 78,521.43
  5. Step 5: Solve for x
    x = 78,521.43/253.23
  6. Step 6: Final answer
    x = 310.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.