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Finding the Fourth Proportional to 248.23, 342.51 and 149.99

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Solution

The fourth proportional to 248.23, 342.51 and 149.99 is: 206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.23 : 342.51 = 149.99 : x
  2. Step 2: Convert to fraction form
    248.23/342.51 = 149.99/x
  3. Step 3: Cross multiply
    248.23x = 342.51 × 149.99
  4. Step 4: Simplify right side
    248.23x = 51,373.13
  5. Step 5: Solve for x
    x = 51,373.13/248.23
  6. Step 6: Final answer
    x = 206.96

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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.