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Finding the Fourth Proportional to 248.93, 342.70 and 186.68

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Solution

The fourth proportional to 248.93, 342.70 and 186.68 is: 257.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.93 : 342.70 = 186.68 : x
  2. Step 2: Convert to fraction form
    248.93/342.70 = 186.68/x
  3. Step 3: Cross multiply
    248.93x = 342.70 × 186.68
  4. Step 4: Simplify right side
    248.93x = 63,975.63
  5. Step 5: Solve for x
    x = 63,975.63/248.93
  6. Step 6: Final answer
    x = 257.00

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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.