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Finding the Fourth Proportional to 176.03, 264.14 and 162.26

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Solution

The fourth proportional to 176.03, 264.14 and 162.26 is: 243.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.03 : 264.14 = 162.26 : x
  2. Step 2: Convert to fraction form
    176.03/264.14 = 162.26/x
  3. Step 3: Cross multiply
    176.03x = 264.14 × 162.26
  4. Step 4: Simplify right side
    176.03x = 42,859.36
  5. Step 5: Solve for x
    x = 42,859.36/176.03
  6. Step 6: Final answer
    x = 243.48

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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.