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Finding the Fourth Proportional to 176.68, 265.01 and 105.00

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Solution

The fourth proportional to 176.68, 265.01 and 105.00 is: 157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.68 : 265.01 = 105.00 : x
  2. Step 2: Convert to fraction form
    176.68/265.01 = 105.00/x
  3. Step 3: Cross multiply
    176.68x = 265.01 × 105.00
  4. Step 4: Simplify right side
    176.68x = 27,824.72
  5. Step 5: Solve for x
    x = 27,824.72/176.68
  6. Step 6: Final answer
    x = 157.49

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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.