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Finding the Fourth Proportional to 176.00, 263.99 and 171.14

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Solution

The fourth proportional to 176.00, 263.99 and 171.14 is: 256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.00 : 263.99 = 171.14 : x
  2. Step 2: Convert to fraction form
    176.00/263.99 = 171.14/x
  3. Step 3: Cross multiply
    176.00x = 263.99 × 171.14
  4. Step 4: Simplify right side
    176.00x = 45,178.36
  5. Step 5: Solve for x
    x = 45,178.36/176.00
  6. Step 6: Final answer
    x = 256.70

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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.