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Finding the Fourth Proportional to 305.66, 458.64 and 161.40

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Solution

The fourth proportional to 305.66, 458.64 and 161.40 is: 242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.66 : 458.64 = 161.40 : x
  2. Step 2: Convert to fraction form
    305.66/458.64 = 161.40/x
  3. Step 3: Cross multiply
    305.66x = 458.64 × 161.40
  4. Step 4: Simplify right side
    305.66x = 74,024.50
  5. Step 5: Solve for x
    x = 74,024.50/305.66
  6. Step 6: Final answer
    x = 242.18

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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.