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Finding the Fourth Proportional to 265.74, 396.66 and 246.72

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Solution

The fourth proportional to 265.74, 396.66 and 246.72 is: 368.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.74 : 396.66 = 246.72 : x
  2. Step 2: Convert to fraction form
    265.74/396.66 = 246.72/x
  3. Step 3: Cross multiply
    265.74x = 396.66 × 246.72
  4. Step 4: Simplify right side
    265.74x = 97,863.96
  5. Step 5: Solve for x
    x = 97,863.96/265.74
  6. Step 6: Final answer
    x = 368.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.