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Finding the Fourth Proportional to 465.09, 697.60 and 156.93

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Solution

The fourth proportional to 465.09, 697.60 and 156.93 is: 235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.09 : 697.60 = 156.93 : x
  2. Step 2: Convert to fraction form
    465.09/697.60 = 156.93/x
  3. Step 3: Cross multiply
    465.09x = 697.60 × 156.93
  4. Step 4: Simplify right side
    465.09x = 109,474.37
  5. Step 5: Solve for x
    x = 109,474.37/465.09
  6. Step 6: Final answer
    x = 235.38

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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.