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Finding the Fourth Proportional to 176.21, 244.85 and 174.31

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Solution

The fourth proportional to 176.21, 244.85 and 174.31 is: 242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.21 : 244.85 = 174.31 : x
  2. Step 2: Convert to fraction form
    176.21/244.85 = 174.31/x
  3. Step 3: Cross multiply
    176.21x = 244.85 × 174.31
  4. Step 4: Simplify right side
    176.21x = 42,678.32
  5. Step 5: Solve for x
    x = 42,678.32/176.21
  6. Step 6: Final answer
    x = 242.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.