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Finding the Fourth Proportional to 461.15, 691.58 and 152.93

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Solution

The fourth proportional to 461.15, 691.58 and 152.93 is: 229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.15 : 691.58 = 152.93 : x
  2. Step 2: Convert to fraction form
    461.15/691.58 = 152.93/x
  3. Step 3: Cross multiply
    461.15x = 691.58 × 152.93
  4. Step 4: Simplify right side
    461.15x = 105,762.56
  5. Step 5: Solve for x
    x = 105,762.56/461.15
  6. Step 6: Final answer
    x = 229.35

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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.