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Finding the Fourth Proportional to 304.61, 456.59 and 131.19

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Solution

The fourth proportional to 304.61, 456.59 and 131.19 is: 196.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.61 : 456.59 = 131.19 : x
  2. Step 2: Convert to fraction form
    304.61/456.59 = 131.19/x
  3. Step 3: Cross multiply
    304.61x = 456.59 × 131.19
  4. Step 4: Simplify right side
    304.61x = 59,899.39
  5. Step 5: Solve for x
    x = 59,899.39/304.61
  6. Step 6: Final answer
    x = 196.65

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Why These Related Problems?

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