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Finding the Fourth Proportional to 349.56, 482.38 and 202.16

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Solution

The fourth proportional to 349.56, 482.38 and 202.16 is: 278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.56 : 482.38 = 202.16 : x
  2. Step 2: Convert to fraction form
    349.56/482.38 = 202.16/x
  3. Step 3: Cross multiply
    349.56x = 482.38 × 202.16
  4. Step 4: Simplify right side
    349.56x = 97,518.64
  5. Step 5: Solve for x
    x = 97,518.64/349.56
  6. Step 6: Final answer
    x = 278.98

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Why These Related Problems?

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