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Finding the Fourth Proportional to 465, 697.50 and 123

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Solution

The fourth proportional to 465, 697.50 and 123 is: 184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465 : 697.50 = 123 : x
  2. Step 2: Convert to fraction form
    465/697.50 = 123/x
  3. Step 3: Cross multiply
    465x = 697.50 × 123
  4. Step 4: Simplify right side
    465x = 85,792.50
  5. Step 5: Solve for x
    x = 85,792.50/465
  6. Step 6: Final answer
    x = 184.50

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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.