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Finding the Fourth Proportional to 264.32, 364.64 and 160.88

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Solution

The fourth proportional to 264.32, 364.64 and 160.88 is: 221.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.32 : 364.64 = 160.88 : x
  2. Step 2: Convert to fraction form
    264.32/364.64 = 160.88/x
  3. Step 3: Cross multiply
    264.32x = 364.64 × 160.88
  4. Step 4: Simplify right side
    264.32x = 58,663.28
  5. Step 5: Solve for x
    x = 58,663.28/264.32
  6. Step 6: Final answer
    x = 221.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.