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Finding the Fourth Proportional to 290.59, 400.95 and 185.64

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Solution

The fourth proportional to 290.59, 400.95 and 185.64 is: 256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.59 : 400.95 = 185.64 : x
  2. Step 2: Convert to fraction form
    290.59/400.95 = 185.64/x
  3. Step 3: Cross multiply
    290.59x = 400.95 × 185.64
  4. Step 4: Simplify right side
    290.59x = 74,433.11
  5. Step 5: Solve for x
    x = 74,433.11/290.59
  6. Step 6: Final answer
    x = 256.15

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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.