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Finding the Fourth Proportional to 297.51, 410.55 and 186.96

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Solution

The fourth proportional to 297.51, 410.55 and 186.96 is: 258.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.51 : 410.55 = 186.96 : x
  2. Step 2: Convert to fraction form
    297.51/410.55 = 186.96/x
  3. Step 3: Cross multiply
    297.51x = 410.55 × 186.96
  4. Step 4: Simplify right side
    297.51x = 76,756.43
  5. Step 5: Solve for x
    x = 76,756.43/297.51
  6. Step 6: Final answer
    x = 258.00

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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.