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Finding the Fourth Proportional to 305.06, 456.70 and 189.16

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Solution

The fourth proportional to 305.06, 456.70 and 189.16 is: 283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.06 : 456.70 = 189.16 : x
  2. Step 2: Convert to fraction form
    305.06/456.70 = 189.16/x
  3. Step 3: Cross multiply
    305.06x = 456.70 × 189.16
  4. Step 4: Simplify right side
    305.06x = 86,389.37
  5. Step 5: Solve for x
    x = 86,389.37/305.06
  6. Step 6: Final answer
    x = 283.19

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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.