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Finding the Fourth Proportional to 187.35, 280.33 and 177.46

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Solution

The fourth proportional to 187.35, 280.33 and 177.46 is: 265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.35 : 280.33 = 177.46 : x
  2. Step 2: Convert to fraction form
    187.35/280.33 = 177.46/x
  3. Step 3: Cross multiply
    187.35x = 280.33 × 177.46
  4. Step 4: Simplify right side
    187.35x = 49,746.22
  5. Step 5: Solve for x
    x = 49,746.22/187.35
  6. Step 6: Final answer
    x = 265.53

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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.