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Finding the Fourth Proportional to 372.16, 513.44 and 234.24

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Solution

The fourth proportional to 372.16, 513.44 and 234.24 is: 323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.16 : 513.44 = 234.24 : x
  2. Step 2: Convert to fraction form
    372.16/513.44 = 234.24/x
  3. Step 3: Cross multiply
    372.16x = 513.44 × 234.24
  4. Step 4: Simplify right side
    372.16x = 120,268.19
  5. Step 5: Solve for x
    x = 120,268.19/372.16
  6. Step 6: Final answer
    x = 323.16

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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.