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Finding the Fourth Proportional to 194.40, 291.76 and 146.24

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Solution

The fourth proportional to 194.40, 291.76 and 146.24 is: 219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.40 : 291.76 = 146.24 : x
  2. Step 2: Convert to fraction form
    194.40/291.76 = 146.24/x
  3. Step 3: Cross multiply
    194.40x = 291.76 × 146.24
  4. Step 4: Simplify right side
    194.40x = 42,666.98
  5. Step 5: Solve for x
    x = 42,666.98/194.40
  6. Step 6: Final answer
    x = 219.48

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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.