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Finding the Fourth Proportional to 176.60, 262.94 and 162.92

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Solution

The fourth proportional to 176.60, 262.94 and 162.92 is: 242.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.60 : 262.94 = 162.92 : x
  2. Step 2: Convert to fraction form
    176.60/262.94 = 162.92/x
  3. Step 3: Cross multiply
    176.60x = 262.94 × 162.92
  4. Step 4: Simplify right side
    176.60x = 42,838.18
  5. Step 5: Solve for x
    x = 42,838.18/176.60
  6. Step 6: Final answer
    x = 242.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.