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Finding the Fourth Proportional to 268.90, 370.77 and 186.07

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Solution

The fourth proportional to 268.90, 370.77 and 186.07 is: 256.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.90 : 370.77 = 186.07 : x
  2. Step 2: Convert to fraction form
    268.90/370.77 = 186.07/x
  3. Step 3: Cross multiply
    268.90x = 370.77 × 186.07
  4. Step 4: Simplify right side
    268.90x = 68,989.17
  5. Step 5: Solve for x
    x = 68,989.17/268.90
  6. Step 6: Final answer
    x = 256.56

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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.