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Finding the Fourth Proportional to 297.84, 410.90 and 181.40

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Solution

The fourth proportional to 297.84, 410.90 and 181.40 is: 250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.84 : 410.90 = 181.40 : x
  2. Step 2: Convert to fraction form
    297.84/410.90 = 181.40/x
  3. Step 3: Cross multiply
    297.84x = 410.90 × 181.40
  4. Step 4: Simplify right side
    297.84x = 74,537.26
  5. Step 5: Solve for x
    x = 74,537.26/297.84
  6. Step 6: Final answer
    x = 250.26

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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.