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Finding the Fourth Proportional to 253.02, 348.71 and 206.25

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Solution

The fourth proportional to 253.02, 348.71 and 206.25 is: 284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.02 : 348.71 = 206.25 : x
  2. Step 2: Convert to fraction form
    253.02/348.71 = 206.25/x
  3. Step 3: Cross multiply
    253.02x = 348.71 × 206.25
  4. Step 4: Simplify right side
    253.02x = 71,919.10
  5. Step 5: Solve for x
    x = 71,919.10/253.02
  6. Step 6: Final answer
    x = 284.24

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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.