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Finding the Fourth Proportional to 332.24, 498.08 and 139.84

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Solution

The fourth proportional to 332.24, 498.08 and 139.84 is: 209.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.24 : 498.08 = 139.84 : x
  2. Step 2: Convert to fraction form
    332.24/498.08 = 139.84/x
  3. Step 3: Cross multiply
    332.24x = 498.08 × 139.84
  4. Step 4: Simplify right side
    332.24x = 69,651.51
  5. Step 5: Solve for x
    x = 69,651.51/332.24
  6. Step 6: Final answer
    x = 209.64

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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.