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Finding the Fourth Proportional to 430.86, 646.05 and 142.14

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Solution

The fourth proportional to 430.86, 646.05 and 142.14 is: 213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.86 : 646.05 = 142.14 : x
  2. Step 2: Convert to fraction form
    430.86/646.05 = 142.14/x
  3. Step 3: Cross multiply
    430.86x = 646.05 × 142.14
  4. Step 4: Simplify right side
    430.86x = 91,829.55
  5. Step 5: Solve for x
    x = 91,829.55/430.86
  6. Step 6: Final answer
    x = 213.13

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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.