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Finding the Fourth Proportional to 290.13, 400.46 and 186.63

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Solution

The fourth proportional to 290.13, 400.46 and 186.63 is: 257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.13 : 400.46 = 186.63 : x
  2. Step 2: Convert to fraction form
    290.13/400.46 = 186.63/x
  3. Step 3: Cross multiply
    290.13x = 400.46 × 186.63
  4. Step 4: Simplify right side
    290.13x = 74,737.85
  5. Step 5: Solve for x
    x = 74,737.85/290.13
  6. Step 6: Final answer
    x = 257.60

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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.