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Finding the Fourth Proportional to 160.16, 238.33 and 158.45

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Solution

The fourth proportional to 160.16, 238.33 and 158.45 is: 235.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.16 : 238.33 = 158.45 : x
  2. Step 2: Convert to fraction form
    160.16/238.33 = 158.45/x
  3. Step 3: Cross multiply
    160.16x = 238.33 × 158.45
  4. Step 4: Simplify right side
    160.16x = 37,762.20
  5. Step 5: Solve for x
    x = 37,762.20/160.16
  6. Step 6: Final answer
    x = 235.79

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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.