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Finding the Fourth Proportional to 317.42, 438.05 and 175.64

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Solution

The fourth proportional to 317.42, 438.05 and 175.64 is: 242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.42 : 438.05 = 175.64 : x
  2. Step 2: Convert to fraction form
    317.42/438.05 = 175.64/x
  3. Step 3: Cross multiply
    317.42x = 438.05 × 175.64
  4. Step 4: Simplify right side
    317.42x = 76,939.10
  5. Step 5: Solve for x
    x = 76,939.10/317.42
  6. Step 6: Final answer
    x = 242.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.