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Finding the Fourth Proportional to 176.06, 263.64 and 162.32

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Solution

The fourth proportional to 176.06, 263.64 and 162.32 is: 243.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.06 : 263.64 = 162.32 : x
  2. Step 2: Convert to fraction form
    176.06/263.64 = 162.32/x
  3. Step 3: Cross multiply
    176.06x = 263.64 × 162.32
  4. Step 4: Simplify right side
    176.06x = 42,794.04
  5. Step 5: Solve for x
    x = 42,794.04/176.06
  6. Step 6: Final answer
    x = 243.07

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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.