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Finding the Fourth Proportional to 178.58, 266.38 and 175.88

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Solution

The fourth proportional to 178.58, 266.38 and 175.88 is: 262.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.58 : 266.38 = 175.88 : x
  2. Step 2: Convert to fraction form
    178.58/266.38 = 175.88/x
  3. Step 3: Cross multiply
    178.58x = 266.38 × 175.88
  4. Step 4: Simplify right side
    178.58x = 46,850.04
  5. Step 5: Solve for x
    x = 46,850.04/178.58
  6. Step 6: Final answer
    x = 262.35

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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.