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Finding the Fourth Proportional to 176.84, 244.03 and 99.23

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Solution

The fourth proportional to 176.84, 244.03 and 99.23 is: 136.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.84 : 244.03 = 99.23 : x
  2. Step 2: Convert to fraction form
    176.84/244.03 = 99.23/x
  3. Step 3: Cross multiply
    176.84x = 244.03 × 99.23
  4. Step 4: Simplify right side
    176.84x = 24,215.10
  5. Step 5: Solve for x
    x = 24,215.10/176.84
  6. Step 6: Final answer
    x = 136.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.