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Finding the Fourth Proportional to 332.60, 498.83 and 116.06

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Solution

The fourth proportional to 332.60, 498.83 and 116.06 is: 174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.60 : 498.83 = 116.06 : x
  2. Step 2: Convert to fraction form
    332.60/498.83 = 116.06/x
  3. Step 3: Cross multiply
    332.60x = 498.83 × 116.06
  4. Step 4: Simplify right side
    332.60x = 57,894.21
  5. Step 5: Solve for x
    x = 57,894.21/332.60
  6. Step 6: Final answer
    x = 174.07

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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.