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Finding the Fourth Proportional to 446.76, 670.16 and 158.16

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Solution

The fourth proportional to 446.76, 670.16 and 158.16 is: 237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.76 : 670.16 = 158.16 : x
  2. Step 2: Convert to fraction form
    446.76/670.16 = 158.16/x
  3. Step 3: Cross multiply
    446.76x = 670.16 × 158.16
  4. Step 4: Simplify right side
    446.76x = 105,992.51
  5. Step 5: Solve for x
    x = 105,992.51/446.76
  6. Step 6: Final answer
    x = 237.25

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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.