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Finding the Fourth Proportional to 160.65, 220.52 and 148.34

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Solution

The fourth proportional to 160.65, 220.52 and 148.34 is: 203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.65 : 220.52 = 148.34 : x
  2. Step 2: Convert to fraction form
    160.65/220.52 = 148.34/x
  3. Step 3: Cross multiply
    160.65x = 220.52 × 148.34
  4. Step 4: Simplify right side
    160.65x = 32,710.09
  5. Step 5: Solve for x
    x = 32,710.09/160.65
  6. Step 6: Final answer
    x = 203.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.