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Finding the Fourth Proportional to 264.72, 399.10 and 246.16

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Solution

The fourth proportional to 264.72, 399.10 and 246.16 is: 371.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.72 : 399.10 = 246.16 : x
  2. Step 2: Convert to fraction form
    264.72/399.10 = 246.16/x
  3. Step 3: Cross multiply
    264.72x = 399.10 × 246.16
  4. Step 4: Simplify right side
    264.72x = 98,242.46
  5. Step 5: Solve for x
    x = 98,242.46/264.72
  6. Step 6: Final answer
    x = 371.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.