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Finding the Fourth Proportional to 310.07, 465.17 and 117.70

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Solution

The fourth proportional to 310.07, 465.17 and 117.70 is: 176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.07 : 465.17 = 117.70 : x
  2. Step 2: Convert to fraction form
    310.07/465.17 = 117.70/x
  3. Step 3: Cross multiply
    310.07x = 465.17 × 117.70
  4. Step 4: Simplify right side
    310.07x = 54,750.51
  5. Step 5: Solve for x
    x = 54,750.51/310.07
  6. Step 6: Final answer
    x = 176.57

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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.