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Finding the Fourth Proportional to 405.10, 607.70 and 161.62

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Solution

The fourth proportional to 405.10, 607.70 and 161.62 is: 242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.10 : 607.70 = 161.62 : x
  2. Step 2: Convert to fraction form
    405.10/607.70 = 161.62/x
  3. Step 3: Cross multiply
    405.10x = 607.70 × 161.62
  4. Step 4: Simplify right side
    405.10x = 98,216.47
  5. Step 5: Solve for x
    x = 98,216.47/405.10
  6. Step 6: Final answer
    x = 242.45

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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.