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Finding the Fourth Proportional to 465.06, 697.76 and 176.50

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Solution

The fourth proportional to 465.06, 697.76 and 176.50 is: 264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.06 : 697.76 = 176.50 : x
  2. Step 2: Convert to fraction form
    465.06/697.76 = 176.50/x
  3. Step 3: Cross multiply
    465.06x = 697.76 × 176.50
  4. Step 4: Simplify right side
    465.06x = 123,154.64
  5. Step 5: Solve for x
    x = 123,154.64/465.06
  6. Step 6: Final answer
    x = 264.81

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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.