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Finding the Fourth Proportional to 419.99, 630.05 and 160.07

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Solution

The fourth proportional to 419.99, 630.05 and 160.07 is: 240.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.99 : 630.05 = 160.07 : x
  2. Step 2: Convert to fraction form
    419.99/630.05 = 160.07/x
  3. Step 3: Cross multiply
    419.99x = 630.05 × 160.07
  4. Step 4: Simplify right side
    419.99x = 100,848.15
  5. Step 5: Solve for x
    x = 100,848.15/419.99
  6. Step 6: Final answer
    x = 240.12

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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.