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Finding the Fourth Proportional to 313.47, 469.77 and 148.53

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Solution

The fourth proportional to 313.47, 469.77 and 148.53 is: 222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.47 : 469.77 = 148.53 : x
  2. Step 2: Convert to fraction form
    313.47/469.77 = 148.53/x
  3. Step 3: Cross multiply
    313.47x = 469.77 × 148.53
  4. Step 4: Simplify right side
    313.47x = 69,774.94
  5. Step 5: Solve for x
    x = 69,774.94/313.47
  6. Step 6: Final answer
    x = 222.59

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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.