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Finding the Fourth Proportional to 297.02, 410.16 and 186.52

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Solution

The fourth proportional to 297.02, 410.16 and 186.52 is: 257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.02 : 410.16 = 186.52 : x
  2. Step 2: Convert to fraction form
    297.02/410.16 = 186.52/x
  3. Step 3: Cross multiply
    297.02x = 410.16 × 186.52
  4. Step 4: Simplify right side
    297.02x = 76,503.04
  5. Step 5: Solve for x
    x = 76,503.04/297.02
  6. Step 6: Final answer
    x = 257.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.