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Finding the Fourth Proportional to 291.42, 437.04 and 194.04

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Solution

The fourth proportional to 291.42, 437.04 and 194.04 is: 291.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.42 : 437.04 = 194.04 : x
  2. Step 2: Convert to fraction form
    291.42/437.04 = 194.04/x
  3. Step 3: Cross multiply
    291.42x = 437.04 × 194.04
  4. Step 4: Simplify right side
    291.42x = 84,803.24
  5. Step 5: Solve for x
    x = 84,803.24/291.42
  6. Step 6: Final answer
    x = 291.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.