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Finding the Fourth Proportional to 374.48, 561.72 and 114.48

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Solution

The fourth proportional to 374.48, 561.72 and 114.48 is: 171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.48 : 561.72 = 114.48 : x
  2. Step 2: Convert to fraction form
    374.48/561.72 = 114.48/x
  3. Step 3: Cross multiply
    374.48x = 561.72 × 114.48
  4. Step 4: Simplify right side
    374.48x = 64,304.25
  5. Step 5: Solve for x
    x = 64,304.25/374.48
  6. Step 6: Final answer
    x = 171.72

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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.