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Finding the Fourth Proportional to 458.68, 688.14 and 202.12

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Solution

The fourth proportional to 458.68, 688.14 and 202.12 is: 303.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.68 : 688.14 = 202.12 : x
  2. Step 2: Convert to fraction form
    458.68/688.14 = 202.12/x
  3. Step 3: Cross multiply
    458.68x = 688.14 × 202.12
  4. Step 4: Simplify right side
    458.68x = 139,086.86
  5. Step 5: Solve for x
    x = 139,086.86/458.68
  6. Step 6: Final answer
    x = 303.23

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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.