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Finding the Fourth Proportional to 230.48, 345.29 and 205.07

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Solution

The fourth proportional to 230.48, 345.29 and 205.07 is: 307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.48 : 345.29 = 205.07 : x
  2. Step 2: Convert to fraction form
    230.48/345.29 = 205.07/x
  3. Step 3: Cross multiply
    230.48x = 345.29 × 205.07
  4. Step 4: Simplify right side
    230.48x = 70,805.87
  5. Step 5: Solve for x
    x = 70,805.87/230.48
  6. Step 6: Final answer
    x = 307.22

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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.