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Finding the Fourth Proportional to 420.95, 631.49 and 177.54

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Solution

The fourth proportional to 420.95, 631.49 and 177.54 is: 266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.95 : 631.49 = 177.54 : x
  2. Step 2: Convert to fraction form
    420.95/631.49 = 177.54/x
  3. Step 3: Cross multiply
    420.95x = 631.49 × 177.54
  4. Step 4: Simplify right side
    420.95x = 112,113.85
  5. Step 5: Solve for x
    x = 112,113.85/420.95
  6. Step 6: Final answer
    x = 266.34

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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.