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Finding the Fourth Proportional to 332.36, 498.24 and 187.77

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Solution

The fourth proportional to 332.36, 498.24 and 187.77 is: 281.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.36 : 498.24 = 187.77 : x
  2. Step 2: Convert to fraction form
    332.36/498.24 = 187.77/x
  3. Step 3: Cross multiply
    332.36x = 498.24 × 187.77
  4. Step 4: Simplify right side
    332.36x = 93,554.52
  5. Step 5: Solve for x
    x = 93,554.52/332.36
  6. Step 6: Final answer
    x = 281.49

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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.