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Finding the Fourth Proportional to 309.14, 463.98 and 201.06

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Solution

The fourth proportional to 309.14, 463.98 and 201.06 is: 301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.14 : 463.98 = 201.06 : x
  2. Step 2: Convert to fraction form
    309.14/463.98 = 201.06/x
  3. Step 3: Cross multiply
    309.14x = 463.98 × 201.06
  4. Step 4: Simplify right side
    309.14x = 93,287.82
  5. Step 5: Solve for x
    x = 93,287.82/309.14
  6. Step 6: Final answer
    x = 301.77

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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.