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Finding the Fourth Proportional to 434.02, 651.29 and 177.50

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Solution

The fourth proportional to 434.02, 651.29 and 177.50 is: 266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.02 : 651.29 = 177.50 : x
  2. Step 2: Convert to fraction form
    434.02/651.29 = 177.50/x
  3. Step 3: Cross multiply
    434.02x = 651.29 × 177.50
  4. Step 4: Simplify right side
    434.02x = 115,603.98
  5. Step 5: Solve for x
    x = 115,603.98/434.02
  6. Step 6: Final answer
    x = 266.36

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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.