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Finding the Fourth Proportional to 237.57, 328.10 and 188.70

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Solution

The fourth proportional to 237.57, 328.10 and 188.70 is: 260.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.57 : 328.10 = 188.70 : x
  2. Step 2: Convert to fraction form
    237.57/328.10 = 188.70/x
  3. Step 3: Cross multiply
    237.57x = 328.10 × 188.70
  4. Step 4: Simplify right side
    237.57x = 61,911.53
  5. Step 5: Solve for x
    x = 61,911.53/237.57
  6. Step 6: Final answer
    x = 260.60

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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.