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Finding the Fourth Proportional to 291.17, 401.93 and 193.06

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Solution

The fourth proportional to 291.17, 401.93 and 193.06 is: 266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.17 : 401.93 = 193.06 : x
  2. Step 2: Convert to fraction form
    291.17/401.93 = 193.06/x
  3. Step 3: Cross multiply
    291.17x = 401.93 × 193.06
  4. Step 4: Simplify right side
    291.17x = 77,596.08
  5. Step 5: Solve for x
    x = 77,596.08/291.17
  6. Step 6: Final answer
    x = 266.50

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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.