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Finding the Fourth Proportional to 237.66, 355.80 and 146.08

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Solution

The fourth proportional to 237.66, 355.80 and 146.08 is: 218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.66 : 355.80 = 146.08 : x
  2. Step 2: Convert to fraction form
    237.66/355.80 = 146.08/x
  3. Step 3: Cross multiply
    237.66x = 355.80 × 146.08
  4. Step 4: Simplify right side
    237.66x = 51,975.26
  5. Step 5: Solve for x
    x = 51,975.26/237.66
  6. Step 6: Final answer
    x = 218.70

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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.