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Finding the Fourth Proportional to 434.08, 651.12 and 177.76

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Solution

The fourth proportional to 434.08, 651.12 and 177.76 is: 266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.08 : 651.12 = 177.76 : x
  2. Step 2: Convert to fraction form
    434.08/651.12 = 177.76/x
  3. Step 3: Cross multiply
    434.08x = 651.12 × 177.76
  4. Step 4: Simplify right side
    434.08x = 115,743.09
  5. Step 5: Solve for x
    x = 115,743.09/434.08
  6. Step 6: Final answer
    x = 266.64

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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.