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Finding the Fourth Proportional to 339.18, 508.84 and 202.06

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Solution

The fourth proportional to 339.18, 508.84 and 202.06 is: 303.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.18 : 508.84 = 202.06 : x
  2. Step 2: Convert to fraction form
    339.18/508.84 = 202.06/x
  3. Step 3: Cross multiply
    339.18x = 508.84 × 202.06
  4. Step 4: Simplify right side
    339.18x = 102,816.21
  5. Step 5: Solve for x
    x = 102,816.21/339.18
  6. Step 6: Final answer
    x = 303.13

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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.