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Finding the Fourth Proportional to 291.29, 401.81 and 193.07

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Solution

The fourth proportional to 291.29, 401.81 and 193.07 is: 266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.29 : 401.81 = 193.07 : x
  2. Step 2: Convert to fraction form
    291.29/401.81 = 193.07/x
  3. Step 3: Cross multiply
    291.29x = 401.81 × 193.07
  4. Step 4: Simplify right side
    291.29x = 77,574.48
  5. Step 5: Solve for x
    x = 77,574.48/291.29
  6. Step 6: Final answer
    x = 266.32

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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.