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Finding the Fourth Proportional to 304.71, 456.69 and 122.01

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Solution

The fourth proportional to 304.71, 456.69 and 122.01 is: 182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.71 : 456.69 = 122.01 : x
  2. Step 2: Convert to fraction form
    304.71/456.69 = 122.01/x
  3. Step 3: Cross multiply
    304.71x = 456.69 × 122.01
  4. Step 4: Simplify right side
    304.71x = 55,718.81
  5. Step 5: Solve for x
    x = 55,718.81/304.71
  6. Step 6: Final answer
    x = 182.86

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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.