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Finding the Fourth Proportional to 297.16, 409.62 and 248

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Solution

The fourth proportional to 297.16, 409.62 and 248 is: 341.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.16 : 409.62 = 248 : x
  2. Step 2: Convert to fraction form
    297.16/409.62 = 248/x
  3. Step 3: Cross multiply
    297.16x = 409.62 × 248
  4. Step 4: Simplify right side
    297.16x = 101,585.76
  5. Step 5: Solve for x
    x = 101,585.76/297.16
  6. Step 6: Final answer
    x = 341.86

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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.