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Finding the Fourth Proportional to 259.48, 389.76 and 198.40

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Solution

The fourth proportional to 259.48, 389.76 and 198.40 is: 298.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.48 : 389.76 = 198.40 : x
  2. Step 2: Convert to fraction form
    259.48/389.76 = 198.40/x
  3. Step 3: Cross multiply
    259.48x = 389.76 × 198.40
  4. Step 4: Simplify right side
    259.48x = 77,328.38
  5. Step 5: Solve for x
    x = 77,328.38/259.48
  6. Step 6: Final answer
    x = 298.01

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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.