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Finding the Fourth Proportional to 230.51, 344.17 and 207.47

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Solution

The fourth proportional to 230.51, 344.17 and 207.47 is: 309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.51 : 344.17 = 207.47 : x
  2. Step 2: Convert to fraction form
    230.51/344.17 = 207.47/x
  3. Step 3: Cross multiply
    230.51x = 344.17 × 207.47
  4. Step 4: Simplify right side
    230.51x = 71,405.29
  5. Step 5: Solve for x
    x = 71,405.29/230.51
  6. Step 6: Final answer
    x = 309.77

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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.