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Finding the Fourth Proportional to 306.14, 459.34 and 160.00

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Solution

The fourth proportional to 306.14, 459.34 and 160.00 is: 240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.14 : 459.34 = 160.00 : x
  2. Step 2: Convert to fraction form
    306.14/459.34 = 160.00/x
  3. Step 3: Cross multiply
    306.14x = 459.34 × 160.00
  4. Step 4: Simplify right side
    306.14x = 73,492.45
  5. Step 5: Solve for x
    x = 73,492.45/306.14
  6. Step 6: Final answer
    x = 240.06

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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.