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Finding the Fourth Proportional to 248.19, 342.14 and 189.20

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Solution

The fourth proportional to 248.19, 342.14 and 189.20 is: 260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.19 : 342.14 = 189.20 : x
  2. Step 2: Convert to fraction form
    248.19/342.14 = 189.20/x
  3. Step 3: Cross multiply
    248.19x = 342.14 × 189.20
  4. Step 4: Simplify right side
    248.19x = 64,730.23
  5. Step 5: Solve for x
    x = 64,730.23/248.19
  6. Step 6: Final answer
    x = 260.81

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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.