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Finding the Fourth Proportional to 160.48, 239.64 and 156.64

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Solution

The fourth proportional to 160.48, 239.64 and 156.64 is: 233.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.48 : 239.64 = 156.64 : x
  2. Step 2: Convert to fraction form
    160.48/239.64 = 156.64/x
  3. Step 3: Cross multiply
    160.48x = 239.64 × 156.64
  4. Step 4: Simplify right side
    160.48x = 37,537.21
  5. Step 5: Solve for x
    x = 37,537.21/160.48
  6. Step 6: Final answer
    x = 233.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.