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Finding the Fourth Proportional to 291.03, 401.15 and 202.64

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Solution

The fourth proportional to 291.03, 401.15 and 202.64 is: 279.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.03 : 401.15 = 202.64 : x
  2. Step 2: Convert to fraction form
    291.03/401.15 = 202.64/x
  3. Step 3: Cross multiply
    291.03x = 401.15 × 202.64
  4. Step 4: Simplify right side
    291.03x = 81,288.02
  5. Step 5: Solve for x
    x = 81,288.02/291.03
  6. Step 6: Final answer
    x = 279.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.