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Finding the Fourth Proportional to 434.40, 651.68 and 177.92

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Solution

The fourth proportional to 434.40, 651.68 and 177.92 is: 266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.40 : 651.68 = 177.92 : x
  2. Step 2: Convert to fraction form
    434.40/651.68 = 177.92/x
  3. Step 3: Cross multiply
    434.40x = 651.68 × 177.92
  4. Step 4: Simplify right side
    434.40x = 115,946.91
  5. Step 5: Solve for x
    x = 115,946.91/434.40
  6. Step 6: Final answer
    x = 266.91

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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.