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Finding the Fourth Proportional to 264.93, 365.64 and 160.02

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Solution

The fourth proportional to 264.93, 365.64 and 160.02 is: 220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.93 : 365.64 = 160.02 : x
  2. Step 2: Convert to fraction form
    264.93/365.64 = 160.02/x
  3. Step 3: Cross multiply
    264.93x = 365.64 × 160.02
  4. Step 4: Simplify right side
    264.93x = 58,509.71
  5. Step 5: Solve for x
    x = 58,509.71/264.93
  6. Step 6: Final answer
    x = 220.85

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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.