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Finding the Fourth Proportional to 307.01, 459.55 and 197.18

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Solution

The fourth proportional to 307.01, 459.55 and 197.18 is: 295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.01 : 459.55 = 197.18 : x
  2. Step 2: Convert to fraction form
    307.01/459.55 = 197.18/x
  3. Step 3: Cross multiply
    307.01x = 459.55 × 197.18
  4. Step 4: Simplify right side
    307.01x = 90,614.07
  5. Step 5: Solve for x
    x = 90,614.07/307.01
  6. Step 6: Final answer
    x = 295.15

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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.