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Finding the Fourth Proportional to 291.53, 401.87 and 193.11

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Solution

The fourth proportional to 291.53, 401.87 and 193.11 is: 266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.53 : 401.87 = 193.11 : x
  2. Step 2: Convert to fraction form
    291.53/401.87 = 193.11/x
  3. Step 3: Cross multiply
    291.53x = 401.87 × 193.11
  4. Step 4: Simplify right side
    291.53x = 77,605.60
  5. Step 5: Solve for x
    x = 77,605.60/291.53
  6. Step 6: Final answer
    x = 266.21

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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.