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Finding the Fourth Proportional to 264.58, 365.01 and 159.58

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Solution

The fourth proportional to 264.58, 365.01 and 159.58 is: 220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.58 : 365.01 = 159.58 : x
  2. Step 2: Convert to fraction form
    264.58/365.01 = 159.58/x
  3. Step 3: Cross multiply
    264.58x = 365.01 × 159.58
  4. Step 4: Simplify right side
    264.58x = 58,248.30
  5. Step 5: Solve for x
    x = 58,248.30/264.58
  6. Step 6: Final answer
    x = 220.15

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