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Finding the Fourth Proportional to 261.98, 393.02 and 117.70

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Solution

The fourth proportional to 261.98, 393.02 and 117.70 is: 176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.98 : 393.02 = 117.70 : x
  2. Step 2: Convert to fraction form
    261.98/393.02 = 117.70/x
  3. Step 3: Cross multiply
    261.98x = 393.02 × 117.70
  4. Step 4: Simplify right side
    261.98x = 46,258.45
  5. Step 5: Solve for x
    x = 46,258.45/261.98
  6. Step 6: Final answer
    x = 176.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.