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Finding the Fourth Proportional to 248.30, 342.66 and 186.02

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Solution

The fourth proportional to 248.30, 342.66 and 186.02 is: 256.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.30 : 342.66 = 186.02 : x
  2. Step 2: Convert to fraction form
    248.30/342.66 = 186.02/x
  3. Step 3: Cross multiply
    248.30x = 342.66 × 186.02
  4. Step 4: Simplify right side
    248.30x = 63,741.61
  5. Step 5: Solve for x
    x = 63,741.61/248.30
  6. Step 6: Final answer
    x = 256.71

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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.