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Finding the Fourth Proportional to 292.51, 402.77 and 255.45

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Solution

The fourth proportional to 292.51, 402.77 and 255.45 is: 351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.51 : 402.77 = 255.45 : x
  2. Step 2: Convert to fraction form
    292.51/402.77 = 255.45/x
  3. Step 3: Cross multiply
    292.51x = 402.77 × 255.45
  4. Step 4: Simplify right side
    292.51x = 102,889.75
  5. Step 5: Solve for x
    x = 102,889.75/292.51
  6. Step 6: Final answer
    x = 351.75

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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.