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Finding the Fourth Proportional to 178.65, 268.23 and 101.77

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Solution

The fourth proportional to 178.65, 268.23 and 101.77 is: 152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.65 : 268.23 = 101.77 : x
  2. Step 2: Convert to fraction form
    178.65/268.23 = 101.77/x
  3. Step 3: Cross multiply
    178.65x = 268.23 × 101.77
  4. Step 4: Simplify right side
    178.65x = 27,297.77
  5. Step 5: Solve for x
    x = 27,297.77/178.65
  6. Step 6: Final answer
    x = 152.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.