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Finding the Fourth Proportional to 175.88, 242.54 and 117.72

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Solution

The fourth proportional to 175.88, 242.54 and 117.72 is: 162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.88 : 242.54 = 117.72 : x
  2. Step 2: Convert to fraction form
    175.88/242.54 = 117.72/x
  3. Step 3: Cross multiply
    175.88x = 242.54 × 117.72
  4. Step 4: Simplify right side
    175.88x = 28,551.81
  5. Step 5: Solve for x
    x = 28,551.81/175.88
  6. Step 6: Final answer
    x = 162.34

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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.