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Finding the Fourth Proportional to 305.13, 456.78 and 202.14

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Solution

The fourth proportional to 305.13, 456.78 and 202.14 is: 302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.13 : 456.78 = 202.14 : x
  2. Step 2: Convert to fraction form
    305.13/456.78 = 202.14/x
  3. Step 3: Cross multiply
    305.13x = 456.78 × 202.14
  4. Step 4: Simplify right side
    305.13x = 92,333.51
  5. Step 5: Solve for x
    x = 92,333.51/305.13
  6. Step 6: Final answer
    x = 302.60

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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.