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Finding the Fourth Proportional to 179.93, 268.60 and 152.60

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Solution

The fourth proportional to 179.93, 268.60 and 152.60 is: 227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.93 : 268.60 = 152.60 : x
  2. Step 2: Convert to fraction form
    179.93/268.60 = 152.60/x
  3. Step 3: Cross multiply
    179.93x = 268.60 × 152.60
  4. Step 4: Simplify right side
    179.93x = 40,988.36
  5. Step 5: Solve for x
    x = 40,988.36/179.93
  6. Step 6: Final answer
    x = 227.80

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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.