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Finding the Fourth Proportional to 306.65, 460 and 152.42

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Solution

The fourth proportional to 306.65, 460 and 152.42 is: 228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.65 : 460 = 152.42 : x
  2. Step 2: Convert to fraction form
    306.65/460 = 152.42/x
  3. Step 3: Cross multiply
    306.65x = 460 × 152.42
  4. Step 4: Simplify right side
    306.65x = 70,113.20
  5. Step 5: Solve for x
    x = 70,113.20/306.65
  6. Step 6: Final answer
    x = 228.64

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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.