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Finding the Fourth Proportional to 309.95, 464.65 and 117.71

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Solution

The fourth proportional to 309.95, 464.65 and 117.71 is: 176.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.95 : 464.65 = 117.71 : x
  2. Step 2: Convert to fraction form
    309.95/464.65 = 117.71/x
  3. Step 3: Cross multiply
    309.95x = 464.65 × 117.71
  4. Step 4: Simplify right side
    309.95x = 54,693.95
  5. Step 5: Solve for x
    x = 54,693.95/309.95
  6. Step 6: Final answer
    x = 176.46

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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.