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Finding the Fourth Proportional to 180.17, 248.69 and 106.50

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Solution

The fourth proportional to 180.17, 248.69 and 106.50 is: 147.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.17 : 248.69 = 106.50 : x
  2. Step 2: Convert to fraction form
    180.17/248.69 = 106.50/x
  3. Step 3: Cross multiply
    180.17x = 248.69 × 106.50
  4. Step 4: Simplify right side
    180.17x = 26,485.49
  5. Step 5: Solve for x
    x = 26,485.49/180.17
  6. Step 6: Final answer
    x = 147.00

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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.