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Finding the Fourth Proportional to 176.34, 242.98 and 145.15

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Solution

The fourth proportional to 176.34, 242.98 and 145.15 is: 200.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.34 : 242.98 = 145.15 : x
  2. Step 2: Convert to fraction form
    176.34/242.98 = 145.15/x
  3. Step 3: Cross multiply
    176.34x = 242.98 × 145.15
  4. Step 4: Simplify right side
    176.34x = 35,268.55
  5. Step 5: Solve for x
    x = 35,268.55/176.34
  6. Step 6: Final answer
    x = 200.00

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