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Finding the Fourth Proportional to 176.98, 244.22 and 99.34

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Solution

The fourth proportional to 176.98, 244.22 and 99.34 is: 137.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.98 : 244.22 = 99.34 : x
  2. Step 2: Convert to fraction form
    176.98/244.22 = 99.34/x
  3. Step 3: Cross multiply
    176.98x = 244.22 × 99.34
  4. Step 4: Simplify right side
    176.98x = 24,260.81
  5. Step 5: Solve for x
    x = 24,260.81/176.98
  6. Step 6: Final answer
    x = 137.08

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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.