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Finding the Fourth Proportional to 248.16, 342.75 and 165.13

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Solution

The fourth proportional to 248.16, 342.75 and 165.13 is: 228.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.16 : 342.75 = 165.13 : x
  2. Step 2: Convert to fraction form
    248.16/342.75 = 165.13/x
  3. Step 3: Cross multiply
    248.16x = 342.75 × 165.13
  4. Step 4: Simplify right side
    248.16x = 56,596.59
  5. Step 5: Solve for x
    x = 56,596.59/248.16
  6. Step 6: Final answer
    x = 228.06

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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.