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Finding the Fourth Proportional to 230.18, 317.80 and 205.58

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Solution

The fourth proportional to 230.18, 317.80 and 205.58 is: 283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.18 : 317.80 = 205.58 : x
  2. Step 2: Convert to fraction form
    230.18/317.80 = 205.58/x
  3. Step 3: Cross multiply
    230.18x = 317.80 × 205.58
  4. Step 4: Simplify right side
    230.18x = 65,333.32
  5. Step 5: Solve for x
    x = 65,333.32/230.18
  6. Step 6: Final answer
    x = 283.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.