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Finding the Fourth Proportional to 159.60, 221.52 and 155.64

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Solution

The fourth proportional to 159.60, 221.52 and 155.64 is: 216.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.60 : 221.52 = 155.64 : x
  2. Step 2: Convert to fraction form
    159.60/221.52 = 155.64/x
  3. Step 3: Cross multiply
    159.60x = 221.52 × 155.64
  4. Step 4: Simplify right side
    159.60x = 34,477.37
  5. Step 5: Solve for x
    x = 34,477.37/159.60
  6. Step 6: Final answer
    x = 216.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.