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Finding the Fourth Proportional to 309.32, 462.26 and 248.16

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Solution

The fourth proportional to 309.32, 462.26 and 248.16 is: 370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.32 : 462.26 = 248.16 : x
  2. Step 2: Convert to fraction form
    309.32/462.26 = 248.16/x
  3. Step 3: Cross multiply
    309.32x = 462.26 × 248.16
  4. Step 4: Simplify right side
    309.32x = 114,714.44
  5. Step 5: Solve for x
    x = 114,714.44/309.32
  6. Step 6: Final answer
    x = 370.87

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