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Finding the Fourth Proportional to 248.16, 342.51 and 173.64

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Solution

The fourth proportional to 248.16, 342.51 and 173.64 is: 239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.16 : 342.51 = 173.64 : x
  2. Step 2: Convert to fraction form
    248.16/342.51 = 173.64/x
  3. Step 3: Cross multiply
    248.16x = 342.51 × 173.64
  4. Step 4: Simplify right side
    248.16x = 59,473.44
  5. Step 5: Solve for x
    x = 59,473.44/248.16
  6. Step 6: Final answer
    x = 239.66

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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.