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Finding the Fourth Proportional to 264.12, 363.18 and 233.10

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Solution

The fourth proportional to 264.12, 363.18 and 233.10 is: 320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.12 : 363.18 = 233.10 : x
  2. Step 2: Convert to fraction form
    264.12/363.18 = 233.10/x
  3. Step 3: Cross multiply
    264.12x = 363.18 × 233.10
  4. Step 4: Simplify right side
    264.12x = 84,657.26
  5. Step 5: Solve for x
    x = 84,657.26/264.12
  6. Step 6: Final answer
    x = 320.53

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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.