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Finding the Fourth Proportional to 333.22, 499.81 and 102.10

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Solution

The fourth proportional to 333.22, 499.81 and 102.10 is: 153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.22 : 499.81 = 102.10 : x
  2. Step 2: Convert to fraction form
    333.22/499.81 = 102.10/x
  3. Step 3: Cross multiply
    333.22x = 499.81 × 102.10
  4. Step 4: Simplify right side
    333.22x = 51,030.60
  5. Step 5: Solve for x
    x = 51,030.60/333.22
  6. Step 6: Final answer
    x = 153.14

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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.