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Finding the Fourth Proportional to 405.14, 607.34 and 158.51

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Solution

The fourth proportional to 405.14, 607.34 and 158.51 is: 237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.14 : 607.34 = 158.51 : x
  2. Step 2: Convert to fraction form
    405.14/607.34 = 158.51/x
  3. Step 3: Cross multiply
    405.14x = 607.34 × 158.51
  4. Step 4: Simplify right side
    405.14x = 96,269.46
  5. Step 5: Solve for x
    x = 96,269.46/405.14
  6. Step 6: Final answer
    x = 237.62

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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.