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Finding the Fourth Proportional to 434, 651 and 177.52

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Solution

The fourth proportional to 434, 651 and 177.52 is: 266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    434 : 651 = 177.52 : x
  2. Step 2: Convert to fraction form
    434/651 = 177.52/x
  3. Step 3: Cross multiply
    434x = 651 × 177.52
  4. Step 4: Simplify right side
    434x = 115,565.52
  5. Step 5: Solve for x
    x = 115,565.52/434
  6. Step 6: Final answer
    x = 266.28

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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.