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Finding the Fourth Proportional to 189.04, 284.97 and 176.50

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Solution

The fourth proportional to 189.04, 284.97 and 176.50 is: 266.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.04 : 284.97 = 176.50 : x
  2. Step 2: Convert to fraction form
    189.04/284.97 = 176.50/x
  3. Step 3: Cross multiply
    189.04x = 284.97 × 176.50
  4. Step 4: Simplify right side
    189.04x = 50,296.62
  5. Step 5: Solve for x
    x = 50,296.62/189.04
  6. Step 6: Final answer
    x = 266.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.