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Finding the Fourth Proportional to 495.07, 742.46 and 186.77

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Solution

The fourth proportional to 495.07, 742.46 and 186.77 is: 280.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.07 : 742.46 = 186.77 : x
  2. Step 2: Convert to fraction form
    495.07/742.46 = 186.77/x
  3. Step 3: Cross multiply
    495.07x = 742.46 × 186.77
  4. Step 4: Simplify right side
    495.07x = 138,664.61
  5. Step 5: Solve for x
    x = 138,664.61/495.07
  6. Step 6: Final answer
    x = 280.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.