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Finding the Fourth Proportional to 460.80, 691.22 and 152.66

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Solution

The fourth proportional to 460.80, 691.22 and 152.66 is: 229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.80 : 691.22 = 152.66 : x
  2. Step 2: Convert to fraction form
    460.80/691.22 = 152.66/x
  3. Step 3: Cross multiply
    460.80x = 691.22 × 152.66
  4. Step 4: Simplify right side
    460.80x = 105,521.65
  5. Step 5: Solve for x
    x = 105,521.65/460.80
  6. Step 6: Final answer
    x = 229.00

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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.