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Finding the Fourth Proportional to 237.08, 355.78 and 176.02

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Solution

The fourth proportional to 237.08, 355.78 and 176.02 is: 264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.08 : 355.78 = 176.02 : x
  2. Step 2: Convert to fraction form
    237.08/355.78 = 176.02/x
  3. Step 3: Cross multiply
    237.08x = 355.78 × 176.02
  4. Step 4: Simplify right side
    237.08x = 62,624.40
  5. Step 5: Solve for x
    x = 62,624.40/237.08
  6. Step 6: Final answer
    x = 264.15

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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.