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Finding the Fourth Proportional to 306.32, 459.04 and 152.08

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Solution

The fourth proportional to 306.32, 459.04 and 152.08 is: 227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.32 : 459.04 = 152.08 : x
  2. Step 2: Convert to fraction form
    306.32/459.04 = 152.08/x
  3. Step 3: Cross multiply
    306.32x = 459.04 × 152.08
  4. Step 4: Simplify right side
    306.32x = 69,810.80
  5. Step 5: Solve for x
    x = 69,810.80/306.32
  6. Step 6: Final answer
    x = 227.90

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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.