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Finding the Fourth Proportional to 176.95, 244.19 and 107.02

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Solution

The fourth proportional to 176.95, 244.19 and 107.02 is: 147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.95 : 244.19 = 107.02 : x
  2. Step 2: Convert to fraction form
    176.95/244.19 = 107.02/x
  3. Step 3: Cross multiply
    176.95x = 244.19 × 107.02
  4. Step 4: Simplify right side
    176.95x = 26,131.46
  5. Step 5: Solve for x
    x = 26,131.46/176.95
  6. Step 6: Final answer
    x = 147.68

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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.