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Finding the Fourth Proportional to 237.33, 355.59 and 156.06

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Solution

The fourth proportional to 237.33, 355.59 and 156.06 is: 233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.33 : 355.59 = 156.06 : x
  2. Step 2: Convert to fraction form
    237.33/355.59 = 156.06/x
  3. Step 3: Cross multiply
    237.33x = 355.59 × 156.06
  4. Step 4: Simplify right side
    237.33x = 55,493.38
  5. Step 5: Solve for x
    x = 55,493.38/237.33
  6. Step 6: Final answer
    x = 233.82

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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.