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Finding the Fourth Proportional to 372.12, 513.64 and 267.02

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Solution

The fourth proportional to 372.12, 513.64 and 267.02 is: 368.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.12 : 513.64 = 267.02 : x
  2. Step 2: Convert to fraction form
    372.12/513.64 = 267.02/x
  3. Step 3: Cross multiply
    372.12x = 513.64 × 267.02
  4. Step 4: Simplify right side
    372.12x = 137,152.15
  5. Step 5: Solve for x
    x = 137,152.15/372.12
  6. Step 6: Final answer
    x = 368.57

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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.