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Finding the Fourth Proportional to 253.76, 349.47 and 248.39

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Solution

The fourth proportional to 253.76, 349.47 and 248.39 is: 342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.76 : 349.47 = 248.39 : x
  2. Step 2: Convert to fraction form
    253.76/349.47 = 248.39/x
  3. Step 3: Cross multiply
    253.76x = 349.47 × 248.39
  4. Step 4: Simplify right side
    253.76x = 86,803.11
  5. Step 5: Solve for x
    x = 86,803.11/253.76
  6. Step 6: Final answer
    x = 342.07

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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.