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Finding the Fourth Proportional to 248.25, 342.76 and 155.14

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Solution

The fourth proportional to 248.25, 342.76 and 155.14 is: 214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.25 : 342.76 = 155.14 : x
  2. Step 2: Convert to fraction form
    248.25/342.76 = 155.14/x
  3. Step 3: Cross multiply
    248.25x = 342.76 × 155.14
  4. Step 4: Simplify right side
    248.25x = 53,175.79
  5. Step 5: Solve for x
    x = 53,175.79/248.25
  6. Step 6: Final answer
    x = 214.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.