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Finding the Fourth Proportional to 434.14, 651.18 and 145.54

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Solution

The fourth proportional to 434.14, 651.18 and 145.54 is: 218.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.14 : 651.18 = 145.54 : x
  2. Step 2: Convert to fraction form
    434.14/651.18 = 145.54/x
  3. Step 3: Cross multiply
    434.14x = 651.18 × 145.54
  4. Step 4: Simplify right side
    434.14x = 94,772.74
  5. Step 5: Solve for x
    x = 94,772.74/434.14
  6. Step 6: Final answer
    x = 218.30

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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.