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Finding the Fourth Proportional to 184.48, 275.14 and 170.48

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Solution

The fourth proportional to 184.48, 275.14 and 170.48 is: 254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.48 : 275.14 = 170.48 : x
  2. Step 2: Convert to fraction form
    184.48/275.14 = 170.48/x
  3. Step 3: Cross multiply
    184.48x = 275.14 × 170.48
  4. Step 4: Simplify right side
    184.48x = 46,905.87
  5. Step 5: Solve for x
    x = 46,905.87/184.48
  6. Step 6: Final answer
    x = 254.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.