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Finding the Fourth Proportional to 176, 262 and 173.42

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Solution

The fourth proportional to 176, 262 and 173.42 is: 258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176 : 262 = 173.42 : x
  2. Step 2: Convert to fraction form
    176/262 = 173.42/x
  3. Step 3: Cross multiply
    176x = 262 × 173.42
  4. Step 4: Simplify right side
    176x = 45,436.04
  5. Step 5: Solve for x
    x = 45,436.04/176
  6. Step 6: Final answer
    x = 258.16

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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.