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Finding the Fourth Proportional to 235.04, 322.24 and 230.95

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Solution

The fourth proportional to 235.04, 322.24 and 230.95 is: 316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.04 : 322.24 = 230.95 : x
  2. Step 2: Convert to fraction form
    235.04/322.24 = 230.95/x
  3. Step 3: Cross multiply
    235.04x = 322.24 × 230.95
  4. Step 4: Simplify right side
    235.04x = 74,421.33
  5. Step 5: Solve for x
    x = 74,421.33/235.04
  6. Step 6: Final answer
    x = 316.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.