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Finding the Fourth Proportional to 292.35, 403.65 and 230.16

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Solution

The fourth proportional to 292.35, 403.65 and 230.16 is: 317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.35 : 403.65 = 230.16 : x
  2. Step 2: Convert to fraction form
    292.35/403.65 = 230.16/x
  3. Step 3: Cross multiply
    292.35x = 403.65 × 230.16
  4. Step 4: Simplify right side
    292.35x = 92,904.08
  5. Step 5: Solve for x
    x = 92,904.08/292.35
  6. Step 6: Final answer
    x = 317.78

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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.