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Finding the Fourth Proportional to 175.88, 242.59 and 152.53

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Solution

The fourth proportional to 175.88, 242.59 and 152.53 is: 210.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.88 : 242.59 = 152.53 : x
  2. Step 2: Convert to fraction form
    175.88/242.59 = 152.53/x
  3. Step 3: Cross multiply
    175.88x = 242.59 × 152.53
  4. Step 4: Simplify right side
    175.88x = 37,001.40
  5. Step 5: Solve for x
    x = 37,001.40/175.88
  6. Step 6: Final answer
    x = 210.38

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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.