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Finding the Fourth Proportional to 434.66, 651.88 and 142.08

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Solution

The fourth proportional to 434.66, 651.88 and 142.08 is: 213.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.66 : 651.88 = 142.08 : x
  2. Step 2: Convert to fraction form
    434.66/651.88 = 142.08/x
  3. Step 3: Cross multiply
    434.66x = 651.88 × 142.08
  4. Step 4: Simplify right side
    434.66x = 92,619.11
  5. Step 5: Solve for x
    x = 92,619.11/434.66
  6. Step 6: Final answer
    x = 213.09

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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.