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Finding the Fourth Proportional to 160.65, 241.04 and 145.38

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Solution

The fourth proportional to 160.65, 241.04 and 145.38 is: 218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.65 : 241.04 = 145.38 : x
  2. Step 2: Convert to fraction form
    160.65/241.04 = 145.38/x
  3. Step 3: Cross multiply
    160.65x = 241.04 × 145.38
  4. Step 4: Simplify right side
    160.65x = 35,041.67
  5. Step 5: Solve for x
    x = 35,041.67/160.65
  6. Step 6: Final answer
    x = 218.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.