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Finding the Fourth Proportional to 405.53, 607.98 and 148.85

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Solution

The fourth proportional to 405.53, 607.98 and 148.85 is: 223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.53 : 607.98 = 148.85 : x
  2. Step 2: Convert to fraction form
    405.53/607.98 = 148.85/x
  3. Step 3: Cross multiply
    405.53x = 607.98 × 148.85
  4. Step 4: Simplify right side
    405.53x = 90,494.78
  5. Step 5: Solve for x
    x = 90,494.78/405.53
  6. Step 6: Final answer
    x = 223.15

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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.