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Finding the Fourth Proportional to 349.48, 482.21 and 202.06

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Solution

The fourth proportional to 349.48, 482.21 and 202.06 is: 278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.48 : 482.21 = 202.06 : x
  2. Step 2: Convert to fraction form
    349.48/482.21 = 202.06/x
  3. Step 3: Cross multiply
    349.48x = 482.21 × 202.06
  4. Step 4: Simplify right side
    349.48x = 97,431.93
  5. Step 5: Solve for x
    x = 97,431.93/349.48
  6. Step 6: Final answer
    x = 278.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.