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Finding the Fourth Proportional to 176.05, 242.74 and 165.46

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Solution

The fourth proportional to 176.05, 242.74 and 165.46 is: 228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.05 : 242.74 = 165.46 : x
  2. Step 2: Convert to fraction form
    176.05/242.74 = 165.46/x
  3. Step 3: Cross multiply
    176.05x = 242.74 × 165.46
  4. Step 4: Simplify right side
    176.05x = 40,161.72
  5. Step 5: Solve for x
    x = 40,161.72/176.05
  6. Step 6: Final answer
    x = 228.13

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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.