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Finding the Fourth Proportional to 176.70, 265.38 and 105

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Solution

The fourth proportional to 176.70, 265.38 and 105 is: 157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.70 : 265.38 = 105 : x
  2. Step 2: Convert to fraction form
    176.70/265.38 = 105/x
  3. Step 3: Cross multiply
    176.70x = 265.38 × 105
  4. Step 4: Simplify right side
    176.70x = 27,864.90
  5. Step 5: Solve for x
    x = 27,864.90/176.70
  6. Step 6: Final answer
    x = 157.70

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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.