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Finding the Fourth Proportional to 291.48, 402.18 and 193.46

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Solution

The fourth proportional to 291.48, 402.18 and 193.46 is: 266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.48 : 402.18 = 193.46 : x
  2. Step 2: Convert to fraction form
    291.48/402.18 = 193.46/x
  3. Step 3: Cross multiply
    291.48x = 402.18 × 193.46
  4. Step 4: Simplify right side
    291.48x = 77,805.74
  5. Step 5: Solve for x
    x = 77,805.74/291.48
  6. Step 6: Final answer
    x = 266.93

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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.