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Finding the Fourth Proportional to 176.94, 244.15 and 107.01

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Solution

The fourth proportional to 176.94, 244.15 and 107.01 is: 147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.94 : 244.15 = 107.01 : x
  2. Step 2: Convert to fraction form
    176.94/244.15 = 107.01/x
  3. Step 3: Cross multiply
    176.94x = 244.15 × 107.01
  4. Step 4: Simplify right side
    176.94x = 26,126.22
  5. Step 5: Solve for x
    x = 26,126.22/176.94
  6. Step 6: Final answer
    x = 147.66

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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.