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Finding the Fourth Proportional to 465.90, 698.94 and 177.54

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Solution

The fourth proportional to 465.90, 698.94 and 177.54 is: 266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.90 : 698.94 = 177.54 : x
  2. Step 2: Convert to fraction form
    465.90/698.94 = 177.54/x
  3. Step 3: Cross multiply
    465.90x = 698.94 × 177.54
  4. Step 4: Simplify right side
    465.90x = 124,089.81
  5. Step 5: Solve for x
    x = 124,089.81/465.90
  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.