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Finding the Fourth Proportional to 461.07, 691.56 and 152.93

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Solution

The fourth proportional to 461.07, 691.56 and 152.93 is: 229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.07 : 691.56 = 152.93 : x
  2. Step 2: Convert to fraction form
    461.07/691.56 = 152.93/x
  3. Step 3: Cross multiply
    461.07x = 691.56 × 152.93
  4. Step 4: Simplify right side
    461.07x = 105,756.81
  5. Step 5: Solve for x
    x = 105,756.81/461.07
  6. Step 6: Final answer
    x = 229.37

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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.