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Finding the Fourth Proportional to 340.75, 510.93 and 158.05

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Solution

The fourth proportional to 340.75, 510.93 and 158.05 is: 236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.75 : 510.93 = 158.05 : x
  2. Step 2: Convert to fraction form
    340.75/510.93 = 158.05/x
  3. Step 3: Cross multiply
    340.75x = 510.93 × 158.05
  4. Step 4: Simplify right side
    340.75x = 80,752.49
  5. Step 5: Solve for x
    x = 80,752.49/340.75
  6. Step 6: Final answer
    x = 236.98

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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.