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Finding the Fourth Proportional to 349.36, 482.10 and 202

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Solution

The fourth proportional to 349.36, 482.10 and 202 is: 278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.36 : 482.10 = 202 : x
  2. Step 2: Convert to fraction form
    349.36/482.10 = 202/x
  3. Step 3: Cross multiply
    349.36x = 482.10 × 202
  4. Step 4: Simplify right side
    349.36x = 97,384.20
  5. Step 5: Solve for x
    x = 97,384.20/349.36
  6. Step 6: Final answer
    x = 278.75

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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.