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Finding the Fourth Proportional to 242.37, 334.59 and 155.19

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Solution

The fourth proportional to 242.37, 334.59 and 155.19 is: 214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.37 : 334.59 = 155.19 : x
  2. Step 2: Convert to fraction form
    242.37/334.59 = 155.19/x
  3. Step 3: Cross multiply
    242.37x = 334.59 × 155.19
  4. Step 4: Simplify right side
    242.37x = 51,925.02
  5. Step 5: Solve for x
    x = 51,925.02/242.37
  6. Step 6: Final answer
    x = 214.24

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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.