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Finding the Fourth Proportional to 176.07, 262.46 and 174.45

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Solution

The fourth proportional to 176.07, 262.46 and 174.45 is: 260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.07 : 262.46 = 174.45 : x
  2. Step 2: Convert to fraction form
    176.07/262.46 = 174.45/x
  3. Step 3: Cross multiply
    176.07x = 262.46 × 174.45
  4. Step 4: Simplify right side
    176.07x = 45,785.27
  5. Step 5: Solve for x
    x = 45,785.27/176.07
  6. Step 6: Final answer
    x = 260.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.