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Finding the Fourth Proportional to 248.82, 373.16 and 102.68

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Solution

The fourth proportional to 248.82, 373.16 and 102.68 is: 153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.82 : 373.16 = 102.68 : x
  2. Step 2: Convert to fraction form
    248.82/373.16 = 102.68/x
  3. Step 3: Cross multiply
    248.82x = 373.16 × 102.68
  4. Step 4: Simplify right side
    248.82x = 38,316.07
  5. Step 5: Solve for x
    x = 38,316.07/248.82
  6. Step 6: Final answer
    x = 153.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.