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Finding the Fourth Proportional to 405.18, 607.75 and 199.14

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Solution

The fourth proportional to 405.18, 607.75 and 199.14 is: 298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.18 : 607.75 = 199.14 : x
  2. Step 2: Convert to fraction form
    405.18/607.75 = 199.14/x
  3. Step 3: Cross multiply
    405.18x = 607.75 × 199.14
  4. Step 4: Simplify right side
    405.18x = 121,027.34
  5. Step 5: Solve for x
    x = 121,027.34/405.18
  6. Step 6: Final answer
    x = 298.70

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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.