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Finding the Fourth Proportional to 305.58, 458.37 and 143.40

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Solution

The fourth proportional to 305.58, 458.37 and 143.40 is: 215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.58 : 458.37 = 143.40 : x
  2. Step 2: Convert to fraction form
    305.58/458.37 = 143.40/x
  3. Step 3: Cross multiply
    305.58x = 458.37 × 143.40
  4. Step 4: Simplify right side
    305.58x = 65,730.26
  5. Step 5: Solve for x
    x = 65,730.26/305.58
  6. Step 6: Final answer
    x = 215.10

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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.