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Finding the Fourth Proportional to 176.64, 264.38 and 160.24

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Solution

The fourth proportional to 176.64, 264.38 and 160.24 is: 239.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.64 : 264.38 = 160.24 : x
  2. Step 2: Convert to fraction form
    176.64/264.38 = 160.24/x
  3. Step 3: Cross multiply
    176.64x = 264.38 × 160.24
  4. Step 4: Simplify right side
    176.64x = 42,364.25
  5. Step 5: Solve for x
    x = 42,364.25/176.64
  6. Step 6: Final answer
    x = 239.83

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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.