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Finding the Fourth Proportional to 180.10, 248.58 and 106.46

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Solution

The fourth proportional to 180.10, 248.58 and 106.46 is: 146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.10 : 248.58 = 106.46 : x
  2. Step 2: Convert to fraction form
    180.10/248.58 = 106.46/x
  3. Step 3: Cross multiply
    180.10x = 248.58 × 106.46
  4. Step 4: Simplify right side
    180.10x = 26,463.83
  5. Step 5: Solve for x
    x = 26,463.83/180.10
  6. Step 6: Final answer
    x = 146.94

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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.