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Finding the Fourth Proportional to 304.40, 456.62 and 131.10

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Solution

The fourth proportional to 304.40, 456.62 and 131.10 is: 196.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.40 : 456.62 = 131.10 : x
  2. Step 2: Convert to fraction form
    304.40/456.62 = 131.10/x
  3. Step 3: Cross multiply
    304.40x = 456.62 × 131.10
  4. Step 4: Simplify right side
    304.40x = 59,862.23
  5. Step 5: Solve for x
    x = 59,862.23/304.40
  6. Step 6: Final answer
    x = 196.66

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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.