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Finding the Fourth Proportional to 293.08, 403.65 and 230.81

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Solution

The fourth proportional to 293.08, 403.65 and 230.81 is: 317.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.08 : 403.65 = 230.81 : x
  2. Step 2: Convert to fraction form
    293.08/403.65 = 230.81/x
  3. Step 3: Cross multiply
    293.08x = 403.65 × 230.81
  4. Step 4: Simplify right side
    293.08x = 93,166.46
  5. Step 5: Solve for x
    x = 93,166.46/293.08
  6. Step 6: Final answer
    x = 317.89

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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.