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Finding the Fourth Proportional to 305.64, 458.54 and 100.22

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Solution

The fourth proportional to 305.64, 458.54 and 100.22 is: 150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.64 : 458.54 = 100.22 : x
  2. Step 2: Convert to fraction form
    305.64/458.54 = 100.22/x
  3. Step 3: Cross multiply
    305.64x = 458.54 × 100.22
  4. Step 4: Simplify right side
    305.64x = 45,954.38
  5. Step 5: Solve for x
    x = 45,954.38/305.64
  6. Step 6: Final answer
    x = 150.35

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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.