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Finding the Fourth Proportional to 313.86, 470.64 and 97.32

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Solution

The fourth proportional to 313.86, 470.64 and 97.32 is: 145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.86 : 470.64 = 97.32 : x
  2. Step 2: Convert to fraction form
    313.86/470.64 = 97.32/x
  3. Step 3: Cross multiply
    313.86x = 470.64 × 97.32
  4. Step 4: Simplify right side
    313.86x = 45,802.68
  5. Step 5: Solve for x
    x = 45,802.68/313.86
  6. Step 6: Final answer
    x = 145.93

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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.