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Finding the Fourth Proportional to 176.81, 244.08 and 117.83

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Solution

The fourth proportional to 176.81, 244.08 and 117.83 is: 162.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.81 : 244.08 = 117.83 : x
  2. Step 2: Convert to fraction form
    176.81/244.08 = 117.83/x
  3. Step 3: Cross multiply
    176.81x = 244.08 × 117.83
  4. Step 4: Simplify right side
    176.81x = 28,758.14
  5. Step 5: Solve for x
    x = 28,758.14/176.81
  6. Step 6: Final answer
    x = 162.65

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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.