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Finding the Fourth Proportional to 253.05, 349.08 and 206.46

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Solution

The fourth proportional to 253.05, 349.08 and 206.46 is: 284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.05 : 349.08 = 206.46 : x
  2. Step 2: Convert to fraction form
    253.05/349.08 = 206.46/x
  3. Step 3: Cross multiply
    253.05x = 349.08 × 206.46
  4. Step 4: Simplify right side
    253.05x = 72,071.06
  5. Step 5: Solve for x
    x = 72,071.06/253.05
  6. Step 6: Final answer
    x = 284.81

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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.