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Finding the Fourth Proportional to 297.19, 410.23 and 186.66

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Solution

The fourth proportional to 297.19, 410.23 and 186.66 is: 257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.19 : 410.23 = 186.66 : x
  2. Step 2: Convert to fraction form
    297.19/410.23 = 186.66/x
  3. Step 3: Cross multiply
    297.19x = 410.23 × 186.66
  4. Step 4: Simplify right side
    297.19x = 76,573.07
  5. Step 5: Solve for x
    x = 76,573.07/297.19
  6. Step 6: Final answer
    x = 257.66

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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.