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Finding the Fourth Proportional to 460, 690 and 167.50

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Solution

The fourth proportional to 460, 690 and 167.50 is: 251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    460 : 690 = 167.50 : x
  2. Step 2: Convert to fraction form
    460/690 = 167.50/x
  3. Step 3: Cross multiply
    460x = 690 × 167.50
  4. Step 4: Simplify right side
    460x = 115,575
  5. Step 5: Solve for x
    x = 115,575/460
  6. Step 6: Final answer
    x = 251.25

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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.