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Finding the Fourth Proportional to 201, 276.78 and 176.30

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Solution

The fourth proportional to 201, 276.78 and 176.30 is: 242.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201 : 276.78 = 176.30 : x
  2. Step 2: Convert to fraction form
    201/276.78 = 176.30/x
  3. Step 3: Cross multiply
    201x = 276.78 × 176.30
  4. Step 4: Simplify right side
    201x = 48,796.31
  5. Step 5: Solve for x
    x = 48,796.31/201
  6. Step 6: Final answer
    x = 242.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.