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Finding the Fourth Proportional to 176.50, 243.61 and 114.35

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Solution

The fourth proportional to 176.50, 243.61 and 114.35 is: 157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.50 : 243.61 = 114.35 : x
  2. Step 2: Convert to fraction form
    176.50/243.61 = 114.35/x
  3. Step 3: Cross multiply
    176.50x = 243.61 × 114.35
  4. Step 4: Simplify right side
    176.50x = 27,855.59
  5. Step 5: Solve for x
    x = 27,855.59/176.50
  6. Step 6: Final answer
    x = 157.82

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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.