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Finding the Fourth Proportional to 290.53, 400.91 and 185.62

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Solution

The fourth proportional to 290.53, 400.91 and 185.62 is: 256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.53 : 400.91 = 185.62 : x
  2. Step 2: Convert to fraction form
    290.53/400.91 = 185.62/x
  3. Step 3: Cross multiply
    290.53x = 400.91 × 185.62
  4. Step 4: Simplify right side
    290.53x = 74,416.03
  5. Step 5: Solve for x
    x = 74,416.03/290.53
  6. Step 6: Final answer
    x = 256.14

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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.