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Finding the Fourth Proportional to 420.12, 630.16 and 160.11

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Solution

The fourth proportional to 420.12, 630.16 and 160.11 is: 240.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.12 : 630.16 = 160.11 : x
  2. Step 2: Convert to fraction form
    420.12/630.16 = 160.11/x
  3. Step 3: Cross multiply
    420.12x = 630.16 × 160.11
  4. Step 4: Simplify right side
    420.12x = 100,894.52
  5. Step 5: Solve for x
    x = 100,894.52/420.12
  6. Step 6: Final answer
    x = 240.16

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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.