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Finding the Fourth Proportional to 420.94, 631.68 and 177.58

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Solution

The fourth proportional to 420.94, 631.68 and 177.58 is: 266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.94 : 631.68 = 177.58 : x
  2. Step 2: Convert to fraction form
    420.94/631.68 = 177.58/x
  3. Step 3: Cross multiply
    420.94x = 631.68 × 177.58
  4. Step 4: Simplify right side
    420.94x = 112,173.73
  5. Step 5: Solve for x
    x = 112,173.73/420.94
  6. Step 6: Final answer
    x = 266.48

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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.