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Finding the Fourth Proportional to 176.67, 243.95 and 121.50

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Solution

The fourth proportional to 176.67, 243.95 and 121.50 is: 167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.67 : 243.95 = 121.50 : x
  2. Step 2: Convert to fraction form
    176.67/243.95 = 121.50/x
  3. Step 3: Cross multiply
    176.67x = 243.95 × 121.50
  4. Step 4: Simplify right side
    176.67x = 29,639.32
  5. Step 5: Solve for x
    x = 29,639.32/176.67
  6. Step 6: Final answer
    x = 167.77

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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.