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Finding the Fourth Proportional to 290.16, 400.23 and 202.77

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Solution

The fourth proportional to 290.16, 400.23 and 202.77 is: 279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.16 : 400.23 = 202.77 : x
  2. Step 2: Convert to fraction form
    290.16/400.23 = 202.77/x
  3. Step 3: Cross multiply
    290.16x = 400.23 × 202.77
  4. Step 4: Simplify right side
    290.16x = 81,154.64
  5. Step 5: Solve for x
    x = 81,154.64/290.16
  6. Step 6: Final answer
    x = 279.69

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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.