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Finding the Fourth Proportional to 461.34, 692.03 and 172.77

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Solution

The fourth proportional to 461.34, 692.03 and 172.77 is: 259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.34 : 692.03 = 172.77 : x
  2. Step 2: Convert to fraction form
    461.34/692.03 = 172.77/x
  3. Step 3: Cross multiply
    461.34x = 692.03 × 172.77
  4. Step 4: Simplify right side
    461.34x = 119,561.16
  5. Step 5: Solve for x
    x = 119,561.16/461.34
  6. Step 6: Final answer
    x = 259.16

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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.