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Finding the Fourth Proportional to 346.52, 478.42 and 248.20

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Solution

The fourth proportional to 346.52, 478.42 and 248.20 is: 342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.52 : 478.42 = 248.20 : x
  2. Step 2: Convert to fraction form
    346.52/478.42 = 248.20/x
  3. Step 3: Cross multiply
    346.52x = 478.42 × 248.20
  4. Step 4: Simplify right side
    346.52x = 118,743.84
  5. Step 5: Solve for x
    x = 118,743.84/346.52
  6. Step 6: Final answer
    x = 342.68

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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.