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Finding the Fourth Proportional to 232.36, 348.76 and 177.00

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Solution

The fourth proportional to 232.36, 348.76 and 177.00 is: 265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.36 : 348.76 = 177.00 : x
  2. Step 2: Convert to fraction form
    232.36/348.76 = 177.00/x
  3. Step 3: Cross multiply
    232.36x = 348.76 × 177.00
  4. Step 4: Simplify right side
    232.36x = 61,729.43
  5. Step 5: Solve for x
    x = 61,729.43/232.36
  6. Step 6: Final answer
    x = 265.67

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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.