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Finding the Fourth Proportional to 160.23, 241.20 and 145.32

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Solution

The fourth proportional to 160.23, 241.20 and 145.32 is: 218.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.23 : 241.20 = 145.32 : x
  2. Step 2: Convert to fraction form
    160.23/241.20 = 145.32/x
  3. Step 3: Cross multiply
    160.23x = 241.20 × 145.32
  4. Step 4: Simplify right side
    160.23x = 35,051.18
  5. Step 5: Solve for x
    x = 35,051.18/160.23
  6. Step 6: Final answer
    x = 218.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.