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Finding the Fourth Proportional to 305.04, 457.32 and 158.70

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Solution

The fourth proportional to 305.04, 457.32 and 158.70 is: 237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.04 : 457.32 = 158.70 : x
  2. Step 2: Convert to fraction form
    305.04/457.32 = 158.70/x
  3. Step 3: Cross multiply
    305.04x = 457.32 × 158.70
  4. Step 4: Simplify right side
    305.04x = 72,576.68
  5. Step 5: Solve for x
    x = 72,576.68/305.04
  6. Step 6: Final answer
    x = 237.93

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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.