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Finding the Fourth Proportional to 405.25, 607.97 and 148.75

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Solution

The fourth proportional to 405.25, 607.97 and 148.75 is: 223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.25 : 607.97 = 148.75 : x
  2. Step 2: Convert to fraction form
    405.25/607.97 = 148.75/x
  3. Step 3: Cross multiply
    405.25x = 607.97 × 148.75
  4. Step 4: Simplify right side
    405.25x = 90,435.54
  5. Step 5: Solve for x
    x = 90,435.54/405.25
  6. Step 6: Final answer
    x = 223.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.