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Finding the Fourth Proportional to 405.24, 607.96 and 161.76

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Solution

The fourth proportional to 405.24, 607.96 and 161.76 is: 242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.24 : 607.96 = 161.76 : x
  2. Step 2: Convert to fraction form
    405.24/607.96 = 161.76/x
  3. Step 3: Cross multiply
    405.24x = 607.96 × 161.76
  4. Step 4: Simplify right side
    405.24x = 98,343.61
  5. Step 5: Solve for x
    x = 98,343.61/405.24
  6. Step 6: Final answer
    x = 242.68

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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.