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Finding the Fourth Proportional to 339.03, 508.32 and 202.14

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Solution

The fourth proportional to 339.03, 508.32 and 202.14 is: 303.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.03 : 508.32 = 202.14 : x
  2. Step 2: Convert to fraction form
    339.03/508.32 = 202.14/x
  3. Step 3: Cross multiply
    339.03x = 508.32 × 202.14
  4. Step 4: Simplify right side
    339.03x = 102,751.80
  5. Step 5: Solve for x
    x = 102,751.80/339.03
  6. Step 6: Final answer
    x = 303.08

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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.