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Finding the Fourth Proportional to 290.52, 400.74 and 185.64

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Solution

The fourth proportional to 290.52, 400.74 and 185.64 is: 256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.52 : 400.74 = 185.64 : x
  2. Step 2: Convert to fraction form
    290.52/400.74 = 185.64/x
  3. Step 3: Cross multiply
    290.52x = 400.74 × 185.64
  4. Step 4: Simplify right side
    290.52x = 74,393.37
  5. Step 5: Solve for x
    x = 74,393.37/290.52
  6. Step 6: Final answer
    x = 256.07

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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.